Pith Number

pith:WBYLDSFT

pith:2025:WBYLDSFTMB7LSELKDPOPL6WUYO

not attested not anchored not stored refs pending

Simplicial sheaves of modules and Morita invariance of groupoid cohomology

Joel Villatoro, Xiang Tang

arxiv:2509.07285 v1 · 2025-09-08 · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBYLDSFTMB7LSELKDPOPL6WUYO}

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.

Cited by

1 paper in Pith

Fat Lie Theory

Receipt and verification

First computed	2026-07-05T12:07:18.966708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b070b1c8b3607eb9116a1bdcf5fad4c3a6b4c9e3ed413dbccc1f8317f5af44d9

Aliases

arxiv: 2509.07285 · arxiv_version: 2509.07285v1 · doi: 10.48550/arxiv.2509.07285 · pith_short_12: WBYLDSFTMB7L · pith_short_16: WBYLDSFTMB7LSELK · pith_short_8: WBYLDSFT

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/WBYLDSFTMB7LSELKDPOPL6WUYO \
  | 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: b070b1c8b3607eb9116a1bdcf5fad4c3a6b4c9e3ed413dbccc1f8317f5af44d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede39dcb2a7d7f0cd8f61f4226962f9647f514237a3d2cb1973437b4c59034bc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-09-08T23:37:47Z",
    "title_canon_sha256": "0a2b1c49a4488e9d5672bc1796289cd541cf94804a3e92329e24e252c606d568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07285",
    "kind": "arxiv",
    "version": 1
  }
}