Pith Number

pith:PTN5BWV6

pith:2015:PTN5BWV67S2EWRV3TVAM3RRVEK

not attested not anchored not stored refs pending

Interactive Visualization of 2-D Persistence Modules

Matthew Wright, Michael Lesnick

arxiv:1512.00180 v1 · 2015-12-01 · math.AT · cs.CG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTN5BWV67S2EWRV3TVAM3RRVEK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Bifunction and Interlevel Delaunay Trifiltrations

Interleaving Distance as a Galois-Edit Distance

Computing Homomorphisms of Poset Representations with Applications to Multiparameter Persistence

Cross effects for functors from posets

TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information

Receipt and verification

First computed	2026-05-18T01:25:32.524128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdbd0dabefcb44b46bb9d40cdc63522b73ebdc398be3d005172567b3ddba31c

Aliases

arxiv: 1512.00180 · arxiv_version: 1512.00180v1 · doi: 10.48550/arxiv.1512.00180 · pith_short_12: PTN5BWV67S2E · pith_short_16: PTN5BWV67S2EWRV3 · pith_short_8: PTN5BWV6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PTN5BWV67S2EWRV3TVAM3RRVEK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7cdbd0dabefcb44b46bb9d40cdc63522b73ebdc398be3d005172567b3ddba31c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc83657b51faacb1cd0055724532d482c3f86f9f6cd005eeb16455f7c24d096d",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-01T09:12:26Z",
    "title_canon_sha256": "ea86929bd56f8b29ee4a2d77fefd070d995b0588b77c86c4cc53e32f41cb700f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00180",
    "kind": "arxiv",
    "version": 1
  }
}