Pith Number

pith:GCFGTTYL

pith:2013:GCFGTTYLO36KBBG2MO2ZOOADGB

not attested not anchored not stored refs pending

Invariant measures via inverse limits of finite structures

Cameron Freer, Jaroslav Nesetril, Nathanael Ackerman, Rehana Patel

arxiv:1310.8147 v3 · 2013-10-30 · math.LO · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCFGTTYLO36KBBG2MO2ZOOADGB}

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	2026-05-18T01:26:19.106189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308a69cf0b76fca084da63b59738033075d7dccd29ee81add26e47f0f7836bed

Aliases

arxiv: 1310.8147 · arxiv_version: 1310.8147v3 · doi: 10.48550/arxiv.1310.8147 · pith_short_12: GCFGTTYLO36K · pith_short_16: GCFGTTYLO36KBBG2 · pith_short_8: GCFGTTYL

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/GCFGTTYLO36KBBG2MO2ZOOADGB \
  | 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: 308a69cf0b76fca084da63b59738033075d7dccd29ee81add26e47f0f7836bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ec4c58979905c5b6c2970c4e4bb524db369d0771cddbeba7cb1a569698dbc2",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-10-30T13:27:45Z",
    "title_canon_sha256": "845c817496c058aa3517ff12fb8d62e14d472d14beb49e80429fa85905c865e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8147",
    "kind": "arxiv",
    "version": 3
  }
}