Pith Number

pith:76LKWOOJ

pith:2017:76LKWOOJYSAXTF3IDGYALLRNPB

not attested not anchored not stored refs pending

Deformations of Modules Through Butterflies and Gerbes

Leo Herr

arxiv:1712.01384 v1 · 2017-12-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76LKWOOJYSAXTF3IDGYALLRNPB}

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	2026-05-18T00:28:50.925401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff96ab39c9c48179976819b005ae2d7862705eeca67b181c02a94c27a5cdbeb8

Aliases

arxiv: 1712.01384 · arxiv_version: 1712.01384v1 · doi: 10.48550/arxiv.1712.01384 · pith_short_12: 76LKWOOJYSAX · pith_short_16: 76LKWOOJYSAXTF3I · pith_short_8: 76LKWOOJ

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/76LKWOOJYSAXTF3IDGYALLRNPB \
  | 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: ff96ab39c9c48179976819b005ae2d7862705eeca67b181c02a94c27a5cdbeb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1833542684651d685a6be58e30e12d17cd1830d435b84a2acbcb4d62c58cc73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-04T21:44:01Z",
    "title_canon_sha256": "016233fabc9f4290cc2b6011cb3c9665f31a5ca395996e723a0fe7d8e5959142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01384",
    "kind": "arxiv",
    "version": 1
  }
}