Pith Number

pith:ZMTIEGG6

pith:2011:ZMTIEGG6B7ZI3JSL72VEBJG6FO

not attested not anchored not stored refs pending

Cubicity, Degeneracy, and Crossing Number

Abhijin Adiga, L. Sunil Chandran, Rogers Mathew

arxiv:1105.5225 v2 · 2011-05-26 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMTIEGG6B7ZI3JSL72VEBJG6FO}

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	2026-05-18T04:03:43.129680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb268218de0ff28da64bfeaa40a4de2bae03b584a0aab46f9fe2187d5e27be94

Aliases

arxiv: 1105.5225 · arxiv_version: 1105.5225v2 · doi: 10.48550/arxiv.1105.5225 · pith_short_12: ZMTIEGG6B7ZI · pith_short_16: ZMTIEGG6B7ZI3JSL · pith_short_8: ZMTIEGG6

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/ZMTIEGG6B7ZI3JSL72VEBJG6FO \
  | 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: cb268218de0ff28da64bfeaa40a4de2bae03b584a0aab46f9fe2187d5e27be94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9878792d55cc29a55ee352349d9ae27b94bafd25e478ad3c2ab921fbb1eb315",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-26T08:05:58Z",
    "title_canon_sha256": "79564997d1df6af104e19ee0d2f2feec599bb1522432fb1a83d466b243a8f170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5225",
    "kind": "arxiv",
    "version": 2
  }
}