Pith Number

pith:GV4ASDFA

pith:2012:GV4ASDFAIPYEYLJF4Q7KCIRXCE

not attested not anchored not stored refs pending

Exact completions and small sheaves

Michael Shulman

arxiv:1203.4318 v2 · 2012-03-20 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GV4ASDFAIPYEYLJF4Q7KCIRXCE}

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	2026-05-18T03:46:16.690533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3578090ca043f04c2d25e43ea1223711010b699dbf92557af1e925a0a2e6e8d9

Aliases

arxiv: 1203.4318 · arxiv_version: 1203.4318v2 · doi: 10.48550/arxiv.1203.4318 · pith_short_12: GV4ASDFAIPYE · pith_short_16: GV4ASDFAIPYEYLJF · pith_short_8: GV4ASDFA

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/GV4ASDFAIPYEYLJF4Q7KCIRXCE \
  | 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: 3578090ca043f04c2d25e43ea1223711010b699dbf92557af1e925a0a2e6e8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14983c716bb6615366e41ac6335a187a2becf24ab4dc13b8a04d01938bcf6489",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-03-20T05:04:25Z",
    "title_canon_sha256": "eb85ed022b2feaaec70d731f8fc0c1a4525375c80173a44f0388c2237a928a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4318",
    "kind": "arxiv",
    "version": 2
  }
}