Pith Number

pith:LJ5A7IS6

pith:2011:LJ5A7IS6JSIML6Y5DSP4GDIZFY

not attested not anchored not stored refs pending

Graph limits and hereditary properties

Svante Janson

arxiv:1102.3571 v3 · 2011-02-17 · 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{LJ5A7IS6JSIML6Y5DSP4GDIZFY}

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	2026-05-18T03:29:38.733061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7a0fa25e4c90c5fb1d1c9fc30d192e06e74de370aaea334869120c6fa5d3fd

Aliases

arxiv: 1102.3571 · arxiv_version: 1102.3571v3 · doi: 10.48550/arxiv.1102.3571 · pith_short_12: LJ5A7IS6JSIM · pith_short_16: LJ5A7IS6JSIML6Y5 · pith_short_8: LJ5A7IS6

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/LJ5A7IS6JSIML6Y5DSP4GDIZFY \
  | 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: 5a7a0fa25e4c90c5fb1d1c9fc30d192e06e74de370aaea334869120c6fa5d3fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba7c884e7da142b96a348313cff8229e3f9e96c050725b0a4ad71eec0183cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-17T12:13:50Z",
    "title_canon_sha256": "9872b2ed477572c650181c6907257a34ac6e6886993d03606507e01350b24634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3571",
    "kind": "arxiv",
    "version": 3
  }
}