Pith Number

pith:CPMHW3I4

pith:2011:CPMHW3I44QZGCLWJDYE234HMO5

not attested not anchored not stored refs pending

Normal hyperimaginaries

Enrique Casanovas, Joris Potier

arxiv:1112.2049 v3 · 2011-12-09 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPMHW3I44QZGCLWJDYE234HMO5}

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	2026-05-18T03:05:28.627339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d87b6d1ce432612ec91e09adf0ec77747af7537cd0a0d1440b44d6c200280c

Aliases

arxiv: 1112.2049 · arxiv_version: 1112.2049v3 · doi: 10.48550/arxiv.1112.2049 · pith_short_12: CPMHW3I44QZG · pith_short_16: CPMHW3I44QZGCLWJ · pith_short_8: CPMHW3I4

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/CPMHW3I44QZGCLWJDYE234HMO5 \
  | 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: 13d87b6d1ce432612ec91e09adf0ec77747af7537cd0a0d1440b44d6c200280c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84f997e0ed59d741233f44817175cbb817e06337b7f5322a992b8ae905e3fff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-09T08:47:17Z",
    "title_canon_sha256": "1881736e35967e4a90726dab4fbdcaeaae7d7e331723cf831ce05860c6711b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2049",
    "kind": "arxiv",
    "version": 3
  }
}