Pith Number

pith:BL76GKUQ

pith:2011:BL76GKUQY6T4S6VXNBHI4ZU5L2

not attested not anchored not stored refs pending

Interpretable groups are definable

Janak Ramakrishnan, Pantelis Eleftheriou, Ya'acov Peterzil

arxiv:1110.6581 v1 · 2011-10-30 · 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{BL76GKUQY6T4S6VXNBHI4ZU5L2}

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	2026-05-18T04:09:55.169767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0affe32a90c7a7c97ab7684e8e669d5eb09a248d259434d99a309ac780f77242

Aliases

arxiv: 1110.6581 · arxiv_version: 1110.6581v1 · doi: 10.48550/arxiv.1110.6581 · pith_short_12: BL76GKUQY6T4 · pith_short_16: BL76GKUQY6T4S6VX · pith_short_8: BL76GKUQ

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/BL76GKUQY6T4S6VXNBHI4ZU5L2 \
  | 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: 0affe32a90c7a7c97ab7684e8e669d5eb09a248d259434d99a309ac780f77242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a4de06ae1816a0feb4d560243b089e79a73561ce8d91909fa97a853c1305f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-30T06:09:07Z",
    "title_canon_sha256": "b90cd24befa3c1fcccca023384549c69bad9b602661b7a176f54060099851942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6581",
    "kind": "arxiv",
    "version": 1
  }
}