Pith Number

pith:73CA5P2B

pith:2008:73CA5P2BPTDBTU6IK3DCMFNFFK

not attested not anchored not stored refs pending

Consistency conditions for brane tilings

Ben Davison

arxiv:0812.4185 v4 · 2008-12-22 · 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{73CA5P2BPTDBTU6IK3DCMFNFFK}

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	2026-05-18T04:20:14.819050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec40ebf417cc619d3c856c62615a52a928743e3dc3e83a1bd69a907cb825117

Aliases

arxiv: 0812.4185 · arxiv_version: 0812.4185v4 · doi: 10.48550/arxiv.0812.4185 · pith_short_12: 73CA5P2BPTDB · pith_short_16: 73CA5P2BPTDBTU6I · pith_short_8: 73CA5P2B

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/73CA5P2BPTDBTU6IK3DCMFNFFK \
  | 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: fec40ebf417cc619d3c856c62615a52a928743e3dc3e83a1bd69a907cb825117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d8b9dde7794fad7e1844b464f39163444bbb10ffc6cdeb75eb291cab5e6979c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-12-22T14:21:09Z",
    "title_canon_sha256": "724495b7d3917e6f580fc0706bb6222d5186a15c172fc9ec84c5fe6b850d1b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4185",
    "kind": "arxiv",
    "version": 4
  }
}