Pith Number

pith:OOJ5NWKK

pith:2011:OOJ5NWKKY4PFHNDJOEMJ2MVY4U

not attested not anchored not stored refs pending

Amalgamation functors and homology groups in model theory

Alexei Kolesnikov, Byunghan Kim, John Goodrick

arxiv:1105.2921 v1 · 2011-05-15 · 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{OOJ5NWKKY4PFHNDJOEMJ2MVY4U}

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	2026-05-18T04:22:01.735629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7393d6d94ac71e53b46971189d32b8e515a3164fb7812c1ffa70f42b96d851e1

Aliases

arxiv: 1105.2921 · arxiv_version: 1105.2921v1 · doi: 10.48550/arxiv.1105.2921 · pith_short_12: OOJ5NWKKY4PF · pith_short_16: OOJ5NWKKY4PFHNDJ · pith_short_8: OOJ5NWKK

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/OOJ5NWKKY4PFHNDJOEMJ2MVY4U \
  | 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: 7393d6d94ac71e53b46971189d32b8e515a3164fb7812c1ffa70f42b96d851e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad057cc7d782ae7f6fe900592fb4d22406ad20d8d9e9c87cb3febe2a70cc660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-05-15T03:44:27Z",
    "title_canon_sha256": "eff9202928aa5c97a0115957b26021bd0b227f8a34bd3f4f26d1b73cb5b0f079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2921",
    "kind": "arxiv",
    "version": 1
  }
}