Pith Number

pith:GZTONIVQ

pith:2021:GZTONIVQAZEEBGJWKQR36DAUVE

not attested not anchored not stored refs pending

Sheaves of modules on atomic sites and discrete representations of topological groups

Fei Xu, Li Liang, Liping Li, Zhenxing Di

arxiv:2108.13600 v4 · 2021-08-31 · math.RT · math.AT · math.CT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZTONIVQAZEEBGJWKQR36DAUVE}

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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

A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories

Receipt and verification

First computed	2026-07-05T10:58:57.244909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3666e6a2b006484099365423bf0c14a93f7cc766272421bd4bfc6afdd98b1d9c

Aliases

arxiv: 2108.13600 · arxiv_version: 2108.13600v4 · doi: 10.48550/arxiv.2108.13600 · pith_short_12: GZTONIVQAZEE · pith_short_16: GZTONIVQAZEEBGJW · pith_short_8: GZTONIVQ

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/GZTONIVQAZEEBGJWKQR36DAUVE \
  | 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: 3666e6a2b006484099365423bf0c14a93f7cc766272421bd4bfc6afdd98b1d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a002a85789963eb3836c60065f8750338533ce30f7ddfcc867efa62aa99b0f",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-08-31T03:33:34Z",
    "title_canon_sha256": "1b0e5538a8cf64c20e3a23bc797e536992e7f16c588a065ce98c0c73a2ccb5ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13600",
    "kind": "arxiv",
    "version": 4
  }
}