Pith Number

pith:LUZFUB3I

pith:2018:LUZFUB3IYJVA5I6T643WKEHLQM

not attested not anchored not stored refs pending

Discrete Cubical and Path Homologies of Graphs

Abdul Salam Jarrah, Curtis Greene, Helene Barcelo, Volkmar Welker

arxiv:1803.07497 v1 · 2018-03-20 · math.CO · 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{LUZFUB3IYJVA5I6T643WKEHLQM}

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	2026-05-18T00:20:33.010870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d325a0768c26a0ea3d3f7376510eb8324a15b913e1edacd100811d04f02e799

Aliases

arxiv: 1803.07497 · arxiv_version: 1803.07497v1 · doi: 10.48550/arxiv.1803.07497 · pith_short_12: LUZFUB3IYJVA · pith_short_16: LUZFUB3IYJVA5I6T · pith_short_8: LUZFUB3I

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/LUZFUB3IYJVA5I6T643WKEHLQM \
  | 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: 5d325a0768c26a0ea3d3f7376510eb8324a15b913e1edacd100811d04f02e799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3757705a12914f5dfe079dec502cf2bee0a88fe1ee780f08baa5ce8c6ce5063a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-20T15:53:53Z",
    "title_canon_sha256": "6c60ab918bbda4b440b692c3670722ad9864fe8de8aaf3804716bf9872d0b03a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07497",
    "kind": "arxiv",
    "version": 1
  }
}