Pith Number

pith:CGYIRDQS

pith:2011:CGYIRDQSF6FBKZNDTZ3IQDQT6E

not attested not anchored not stored refs pending

Regularity lemmas for stable graphs

M. Malliaris, S. Shelah

arxiv:1102.3904 v1 · 2011-02-18 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGYIRDQSF6FBKZNDTZ3IQDQT6E}

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	2026-05-18T01:35:05.378040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b0888e122f8a1565a39e76880e13f101bed5b7a168562be430c2e7db411974

Aliases

arxiv: 1102.3904 · arxiv_version: 1102.3904v1 · doi: 10.48550/arxiv.1102.3904 · pith_short_12: CGYIRDQSF6FB · pith_short_16: CGYIRDQSF6FBKZND · pith_short_8: CGYIRDQS

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/CGYIRDQSF6FBKZNDTZ3IQDQT6E \
  | 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: 11b0888e122f8a1565a39e76880e13f101bed5b7a168562be430c2e7db411974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc16a381cd6c654c10b61b31a045166223ead81923f4d968461fcaa7567c5e97",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-02-18T20:32:35Z",
    "title_canon_sha256": "80ee76fa8461c2d0c58c8a3cf9de5a79a1e426b2b3f7ae386581a3a988ef1aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3904",
    "kind": "arxiv",
    "version": 1
  }
}