Pith Number

pith:T5C7RSAA

pith:2012:T5C7RSAABLBCK5VHX7F5367VN2

not attested not anchored not stored refs pending

On the 3-local profiles of graphs

Benny Sudakov, Hao Huang, Humberto Naves, Nati Linial, Yuval Peled

arxiv:1211.3106 v2 · 2012-11-13 · 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{T5C7RSAABLBCK5VHX7F5367VN2}

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	2026-05-18T03:05:18.775081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f45f8c8000ac22576a7bfcbddfbf56e9cacc6167819c42939f5d8f1ab222066

Aliases

arxiv: 1211.3106 · arxiv_version: 1211.3106v2 · doi: 10.48550/arxiv.1211.3106 · pith_short_12: T5C7RSAABLBC · pith_short_16: T5C7RSAABLBCK5VH · pith_short_8: T5C7RSAA

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/T5C7RSAABLBCK5VHX7F5367VN2 \
  | 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: 9f45f8c8000ac22576a7bfcbddfbf56e9cacc6167819c42939f5d8f1ab222066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea62ba8e45f3978baead69868a38b172225ead7a3918689efaf6e800ace6abce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-13T20:48:36Z",
    "title_canon_sha256": "a61762fe1eed19878f20a6b9639a013d55f69a3d63425fc856a25c9221f1b963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3106",
    "kind": "arxiv",
    "version": 2
  }
}