Pith Number

pith:JHWIGA55

pith:2009:JHWIGA554H6VQDZHWHGWEK7RRC

not attested not anchored not stored refs pending

Shadows of ordered graphs

B\'ela Bollob\'as, Graham Brightwell, Robert Morris

arxiv:0906.3724 v2 · 2009-06-19 · 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{JHWIGA554H6VQDZHWHGWEK7RRC}

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	2026-05-18T04:19:13.443068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ec8303bde1fd580f27b1cd622bf188b66b46df583bc06c6021356fc983cf80

Aliases

arxiv: 0906.3724 · arxiv_version: 0906.3724v2 · doi: 10.48550/arxiv.0906.3724 · pith_short_12: JHWIGA554H6V · pith_short_16: JHWIGA554H6VQDZH · pith_short_8: JHWIGA55

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/JHWIGA554H6VQDZHWHGWEK7RRC \
  | 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: 49ec8303bde1fd580f27b1cd622bf188b66b46df583bc06c6021356fc983cf80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c69b494f4d23352cb8b7337c3211a3e67947d50e17f8da2385f12bc41c15f04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-19T18:10:50Z",
    "title_canon_sha256": "5ef22b7a71dfc39bc87737dba247abd9334f1c00c5391335b16d889b85072e3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3724",
    "kind": "arxiv",
    "version": 2
  }
}