Pith Number

pith:VNFK326I

pith:2024:VNFK326IASQMB5EV2KFGELFXWW

not attested not anchored not stored refs pending

Path homology of digraphs without multisquares and its comparison with homology of spaces

Sergei O. Ivanov, Xin Fu

arxiv:2407.17001 v1 · 2024-07-24 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNFK326IASQMB5EV2KFGELFXWW}

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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

Avalanche homology of digraphs via sandpile dynamics

Receipt and verification

First computed	2026-07-05T08:48:00.825352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4aadebc804a0c0f495d28a622cb7b586ef257da39c23715efe6738af70b3d9

Aliases

arxiv: 2407.17001 · arxiv_version: 2407.17001v1 · doi: 10.48550/arxiv.2407.17001 · pith_short_12: VNFK326IASQM · pith_short_16: VNFK326IASQMB5EV · pith_short_8: VNFK326I

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/VNFK326IASQMB5EV2KFGELFXWW \
  | 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: ab4aadebc804a0c0f495d28a622cb7b586ef257da39c23715efe6738af70b3d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9267bbb61b07260de3763d1ad2f7268c32eb02da26bff9084b66f1842bc6061c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-07-24T04:49:26Z",
    "title_canon_sha256": "2f2f4cf4929484c9c34cf1236862023d723694b8d7a86a759e5199cb8bdbc85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17001",
    "kind": "arxiv",
    "version": 1
  }
}