Pith Number

pith:IXFOSNMZ

pith:2018:IXFOSNMZCR3CEU2ARB32WDHJTT

not attested not anchored not stored refs pending

Discrete Morse Theory for Computing Zigzag Persistence

Cl\'ement Maria, Hannah Schreiber

arxiv:1807.05172 v2 · 2018-07-13 · cs.CG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXFOSNMZCR3CEU2ARB32WDHJTT}

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.

Receipt and verification

First computed	2026-05-17T23:40:55.980280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cae9359914762253408877ab0ce99cf45c850dbe271d79950c29bb3ca8ba52

Aliases

arxiv: 1807.05172 · arxiv_version: 1807.05172v2 · doi: 10.48550/arxiv.1807.05172 · pith_short_12: IXFOSNMZCR3C · pith_short_16: IXFOSNMZCR3CEU2A · pith_short_8: IXFOSNMZ

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/IXFOSNMZCR3CEU2ARB32WDHJTT \
  | 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: 45cae9359914762253408877ab0ce99cf45c850dbe271d79950c29bb3ca8ba52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c47b04dab8a1baab1295b0bfc247be41df86f0f419db2ff0dfed8b71c8241a7",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2018-07-13T16:43:28Z",
    "title_canon_sha256": "ab44e0bcd67ed54a52b3908399ea989efb775ed36cd31a1a05a27737915b051a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05172",
    "kind": "arxiv",
    "version": 2
  }
}