Pith Number

pith:PEFGMR6O

pith:2018:PEFGMR6OOAFT5XJ2USSJF3TIPA

not attested not anchored not stored refs pending

On the Alon-Tarsi Number and Chromatic-choosability of Cartesian Products of Graphs

Hemanshu Kaul, Jeffrey A. Mudrock

arxiv:1803.07455 v1 · 2018-03-20 · 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{PEFGMR6OOAFT5XJ2USSJF3TIPA}

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	2026-05-18T00:20:33.140414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

790a6647ce700b3edd3aa4a492ee68782bbf612f95e184691806d7ea38cd7e7c

Aliases

arxiv: 1803.07455 · arxiv_version: 1803.07455v1 · doi: 10.48550/arxiv.1803.07455 · pith_short_12: PEFGMR6OOAFT · pith_short_16: PEFGMR6OOAFT5XJ2 · pith_short_8: PEFGMR6O

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/PEFGMR6OOAFT5XJ2USSJF3TIPA \
  | 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: 790a6647ce700b3edd3aa4a492ee68782bbf612f95e184691806d7ea38cd7e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5383fc3524f3601912a29b399096f43f140df430dfeee9f7122f238151c1e13f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-20T14:34:08Z",
    "title_canon_sha256": "4e14fae6c9042c7f0b8f3444cf85ae3e6494480175154eeb61c808309d6c1db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07455",
    "kind": "arxiv",
    "version": 1
  }
}