Pith Number

pith:T76AZOEL

pith:2018:T76AZOEL6GZCUY77NBCZOQH26L

not attested not anchored not stored refs pending

Persistent Homology of Morse Decompositions in Combinatorial Dynamics

Jacek Kubica, Marian Mrozek, Mateusz Juda, Michal Lipinski, Tamal K. Dey, Tomasz Kapela

arxiv:1801.06590 v2 · 2018-01-19 · math.AT · cs.CG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T76AZOEL6GZCUY77NBCZOQH26L}

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	2026-05-18T00:11:00.021738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ffc0cb88bf1b22a63ff68459740faf2dfc196beaa2e959e56c258fd7d638184

Aliases

arxiv: 1801.06590 · arxiv_version: 1801.06590v2 · doi: 10.48550/arxiv.1801.06590 · pith_short_12: T76AZOEL6GZC · pith_short_16: T76AZOEL6GZCUY77 · pith_short_8: T76AZOEL

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/T76AZOEL6GZCUY77NBCZOQH26L \
  | 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: 9ffc0cb88bf1b22a63ff68459740faf2dfc196beaa2e959e56c258fd7d638184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ccc059831eb0668082e39d2239fd57fbb704f0b4d068dd18bc5b9b7596a245",
    "cross_cats_sorted": [
      "cs.CG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-19T22:47:29Z",
    "title_canon_sha256": "c5f119dbf1bbb6752c87126529c3fa275b3b4b2b9f1835091ab0967492aabe02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06590",
    "kind": "arxiv",
    "version": 2
  }
}