Pith Number

pith:IQZJZ2BO

pith:2024:IQZJZ2BOAXDHZAL5PZS36PS467

not attested not anchored not stored refs pending

The directed Vietoris-Rips complex and homotopy and singular homology groups of finite digraphs

Nicholas A. Scoville, Nikola Mili\'cevi\'c

arxiv:2409.01370 v2 · 2024-09-02 · math.AT · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQZJZ2BOAXDHZAL5PZS36PS467}

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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

Computing singular simplicial homologies of digraphs and quivers

Receipt and verification

First computed	2026-07-05T09:12:30.823905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44329ce82e05c67c817d7e65bf3e5cf7fe3ce78a61a0a31df4f087b81c649190

Aliases

arxiv: 2409.01370 · arxiv_version: 2409.01370v2 · doi: 10.48550/arxiv.2409.01370 · pith_short_12: IQZJZ2BOAXDH · pith_short_16: IQZJZ2BOAXDHZAL5 · pith_short_8: IQZJZ2BO

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/IQZJZ2BOAXDHZAL5PZS36PS467 \
  | 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: 44329ce82e05c67c817d7e65bf3e5cf7fe3ce78a61a0a31df4f087b81c649190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff1890c9d5778c0152df4f77c8e9c55e668f7a1ac330719ae1baab7c1c5bd7d",
    "cross_cats_sorted": [
      "math.CT",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-09-02T16:53:05Z",
    "title_canon_sha256": "0412d591eca0362816c196ec373f293894eccc743aacf9a1ca27902e6400f612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01370",
    "kind": "arxiv",
    "version": 2
  }
}