Pith Number

pith:C4CAIALM

pith:2016:C4CAIALMDONMURORQGUP5G5H2N

not attested not anchored not stored refs pending

Matroid Filtrations and Computational Persistent Homology

Gregory Henselman, Robert Ghrist

arxiv:1606.00199 v2 · 2016-06-01 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4CAIALMDONMURORQGUP5G5H2N}

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

1 paper in Pith

Pruning vineyards: updating barcodes and representative cycles by removing simplices

Receipt and verification

First computed	2026-05-18T00:32:44.542639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170404016c1b9aca45d181a8fe9ba7d342b0991a4d951be3cecd39082d5c1fe9

Aliases

arxiv: 1606.00199 · arxiv_version: 1606.00199v2 · doi: 10.48550/arxiv.1606.00199 · pith_short_12: C4CAIALMDONM · pith_short_16: C4CAIALMDONMUROR · pith_short_8: C4CAIALM

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/C4CAIALMDONMURORQGUP5G5H2N \
  | 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: 170404016c1b9aca45d181a8fe9ba7d342b0991a4d951be3cecd39082d5c1fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77e99fc88d6b6c7f9f01d4cd509bdd26e369979d883a618d58407cfb2c7e606",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-06-01T09:59:03Z",
    "title_canon_sha256": "1c2c2e5d53bdc0eeed8f23c420db6c73aa0e6233b88a0e2676ab91b665f88970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00199",
    "kind": "arxiv",
    "version": 2
  }
}