Pith Number

pith:MKZSUJGD

pith:2013:MKZSUJGDSYQLS3UHGLGAFZUDJD

not attested not anchored not stored refs pending

On the chromatic number of random regular graphs

Amin Coja-Oghlan, Charilaos Efthymiou, Samuel Hetterich

arxiv:1308.4287 v1 · 2013-08-20 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKZSUJGDSYQLS3UHGLGAFZUDJD}

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	2026-05-18T03:15:33.250234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b32a24c39620b96e8732cc02e68348e0e392fcd8d3c12da8ef730e738c28e1

Aliases

arxiv: 1308.4287 · arxiv_version: 1308.4287v1 · doi: 10.48550/arxiv.1308.4287 · pith_short_12: MKZSUJGDSYQL · pith_short_16: MKZSUJGDSYQLS3UH · pith_short_8: MKZSUJGD

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/MKZSUJGDSYQLS3UHGLGAFZUDJD \
  | 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: 62b32a24c39620b96e8732cc02e68348e0e392fcd8d3c12da8ef730e738c28e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9367c5d433d621e554e4b771e4e5bd28ae5c1728bb5464b9d815701ff2da6be",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-20T12:27:22Z",
    "title_canon_sha256": "999886442ccf33e7941ee445b0dfabbde21844eb3397910716d323386b491e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4287",
    "kind": "arxiv",
    "version": 1
  }
}