Pith Number

pith:G4AASX3F

pith:2012:G4AASX3FUQYCVVBEFJQXE4TGUG

not attested not anchored not stored refs pending

The Projection Calculus

Tristan Bice

arxiv:1203.3845 v3 · 2012-03-17 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4AASX3FUQYCVVBEFJQXE4TGUG}

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	2026-05-18T00:51:03.650439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3700095f65a4302ad4242a61727266a1aec5e400c8ad9033b840cdbb905dbe83

Aliases

arxiv: 1203.3845 · arxiv_version: 1203.3845v3 · doi: 10.48550/arxiv.1203.3845 · pith_short_12: G4AASX3FUQYC · pith_short_16: G4AASX3FUQYCVVBE · pith_short_8: G4AASX3F

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/G4AASX3FUQYCVVBEFJQXE4TGUG \
  | 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: 3700095f65a4302ad4242a61727266a1aec5e400c8ad9033b840cdbb905dbe83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2106e47ce5c7fe1fe72c97e50d6de6a934398affe30c00a7105dcabae72fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-03-17T08:44:10Z",
    "title_canon_sha256": "364b4c643427fee09a5673a7ea6cd8eca8baf810d4a42554ed501a7ae6251ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3845",
    "kind": "arxiv",
    "version": 3
  }
}