Pith Number

pith:4BBKWGMT

pith:2011:4BBKWGMTCMR3WGJS5JUBNVTIEU

not attested not anchored not stored refs pending

Derived critical loci I - Basics

Gabriele Vezzosi

arxiv:1109.5213 v1 · 2011-09-23 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BBKWGMTCMR3WGJS5JUBNVTIEU}

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

Formal moduli and the splitting theory of supermanifolds

Receipt and verification

First computed	2026-05-18T04:12:20.347036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e042ab19931323bb1932ea6816d66825193559751c8fb0fa6a2a0fa7d6aa1b7d

Aliases

arxiv: 1109.5213 · arxiv_version: 1109.5213v1 · doi: 10.48550/arxiv.1109.5213 · pith_short_12: 4BBKWGMTCMR3 · pith_short_16: 4BBKWGMTCMR3WGJS · pith_short_8: 4BBKWGMT

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/4BBKWGMTCMR3WGJS5JUBNVTIEU \
  | 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: e042ab19931323bb1932ea6816d66825193559751c8fb0fa6a2a0fa7d6aa1b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7f1105db9507236a3678c6a547cb3a23fd9c9779ac88cef9f8836df3276758",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-23T22:52:15Z",
    "title_canon_sha256": "2ef7d735d7b727dd06ff9e67481abaaedbcd95a441b153097fbff4009e2a9f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5213",
    "kind": "arxiv",
    "version": 1
  }
}