Pith Number

pith:2R36G4ML

pith:2012:2R36G4MLK2EJ66GYIVEAR4BIA2

not attested not anchored not stored refs pending

The inertia set of a signed graph

Frank J. Hall, Hein van der Holst, Marina Arav, Zhongshan Li

arxiv:1208.5285 v1 · 2012-08-27 · 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{2R36G4MLK2EJ66GYIVEAR4BIA2}

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	2026-05-18T03:46:59.872717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d477e3718b56889f78d8454808f02806b85fdae697a2ae20f284b2749e64ae70

Aliases

arxiv: 1208.5285 · arxiv_version: 1208.5285v1 · doi: 10.48550/arxiv.1208.5285 · pith_short_12: 2R36G4MLK2EJ · pith_short_16: 2R36G4MLK2EJ66GY · pith_short_8: 2R36G4ML

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/2R36G4MLK2EJ66GYIVEAR4BIA2 \
  | 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: d477e3718b56889f78d8454808f02806b85fdae697a2ae20f284b2749e64ae70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20c0d6d6efddcbd8c66106e3321a9f29f77998409f795ab96e11df17d9dbea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-27T03:23:49Z",
    "title_canon_sha256": "e9a8b952a4533ea0ec195790a6cfae3c86bac8871c8756ec6d182bdae04a2b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5285",
    "kind": "arxiv",
    "version": 1
  }
}