Pith Number

pith:KWVN3VZF

pith:2012:KWVN3VZFL336KJ7MDQROX2Q3XR

not attested not anchored not stored refs pending

Openness of versality via coherent functors

Jack Hall

arxiv:1206.4182 v2 · 2012-06-19 · 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{KWVN3VZFL336KJ7MDQROX2Q3XR}

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	2026-05-18T03:28:53.884506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55aaddd7255ef7e527ec1c22ebea1bbc6647c3a751f994d0351db51e5179f5d8

Aliases

arxiv: 1206.4182 · arxiv_version: 1206.4182v2 · doi: 10.48550/arxiv.1206.4182 · pith_short_12: KWVN3VZFL336 · pith_short_16: KWVN3VZFL336KJ7M · pith_short_8: KWVN3VZF

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/KWVN3VZFL336KJ7MDQROX2Q3XR \
  | 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: 55aaddd7255ef7e527ec1c22ebea1bbc6647c3a751f994d0351db51e5179f5d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d4fe552a450d9a2f28a966c0fc047ec424cebb6ffd7ab0c5ac4073aafa34ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-19T11:45:43Z",
    "title_canon_sha256": "da505d4b8666b52ecd906afc3b1c7bc4c0dba8cdb2e4c3e47180f6737a8dbaf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4182",
    "kind": "arxiv",
    "version": 2
  }
}