Pith Number

pith:UMGLI6RQ

pith:2011:UMGLI6RQWUFKY4J3FFV7Y6HQ3M

not attested not anchored not stored refs pending

Clones above the unary clone

G\'abor S\'agi, Martin Goldstern, Saharon Shelah

arxiv:1108.2061 v2 · 2011-08-09 · math.RA · 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{UMGLI6RQWUFKY4J3FFV7Y6HQ3M}

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	2026-05-18T04:15:35.774352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30cb47a30b50aac713b296bfc78f0db3b5e72e536c05cb785fd004c0d16b486

Aliases

arxiv: 1108.2061 · arxiv_version: 1108.2061v2 · doi: 10.48550/arxiv.1108.2061 · pith_short_12: UMGLI6RQWUFK · pith_short_16: UMGLI6RQWUFKY4J3 · pith_short_8: UMGLI6RQ

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/UMGLI6RQWUFKY4J3FFV7Y6HQ3M \
  | 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: a30cb47a30b50aac713b296bfc78f0db3b5e72e536c05cb785fd004c0d16b486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98b1769343531031456d85c77ecae24171769ef4fe4f6cf014fef6e847631e2",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-09T22:20:17Z",
    "title_canon_sha256": "b1f7eb80c620e0c428c681c49c81ea1df9a610e2aea488718c4230125ce89064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2061",
    "kind": "arxiv",
    "version": 2
  }
}