Pith Number

pith:BFOU37NU

pith:2013:BFOU37NUHL3TXGDU7TVMHL2TLR

not attested not anchored not stored refs pending

Tangent Lie algebra of derived Artin stacks

Benjamin Hennion

arxiv:1312.3167 v3 · 2013-12-11 · 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{BFOU37NUHL3TXGDU7TVMHL2TLR}

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	2026-05-18T01:12:15.145660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095d4dfdb43af73b9874fceac3af535c50c9298c1603c64ccf014ab22233a825

Aliases

arxiv: 1312.3167 · arxiv_version: 1312.3167v3 · doi: 10.48550/arxiv.1312.3167 · pith_short_12: BFOU37NUHL3T · pith_short_16: BFOU37NUHL3TXGDU · pith_short_8: BFOU37NU

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/BFOU37NUHL3TXGDU7TVMHL2TLR \
  | 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: 095d4dfdb43af73b9874fceac3af535c50c9298c1603c64ccf014ab22233a825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27689ebf7fad58471346b2ab4c725158c298de38b95c594fe7a0f8ce9a3002c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-11T14:04:30Z",
    "title_canon_sha256": "796603187734bb8a871ecfcc2727efa2c15db58eb8d01372a7913cd4d6443cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3167",
    "kind": "arxiv",
    "version": 3
  }
}