Pith Number

pith:ESOFAY7O

pith:2019:ESOFAY7OGPGZL2CRAQVRRKS7LK

not attested not anchored not stored refs pending

New bounds for the b-chromatic number of vertex deleted graphs

Mekkia Kouider, Renata Del-Vecchio

arxiv:1904.01600 v1 · 2019-04-02 · 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{ESOFAY7OGPGZL2CRAQVRRKS7LK}

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	2026-05-17T23:49:32.501904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

249c5063ee33cd95e851042b18aa5f5aab9034e588003a0e3b5c5d35235cb9fe

Aliases

arxiv: 1904.01600 · arxiv_version: 1904.01600v1 · doi: 10.48550/arxiv.1904.01600 · pith_short_12: ESOFAY7OGPGZ · pith_short_16: ESOFAY7OGPGZL2CR · pith_short_8: ESOFAY7O

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/ESOFAY7OGPGZL2CRAQVRRKS7LK \
  | 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: 249c5063ee33cd95e851042b18aa5f5aab9034e588003a0e3b5c5d35235cb9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc74c8c386d91c93c6a54bb2554c862af94fa1964ae5ff37dd8edd59a8b3e55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-02T18:04:36Z",
    "title_canon_sha256": "05ace94c0c1656b884dc0c761579fb087726d7ba4adc893c2a1ec15b88319b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01600",
    "kind": "arxiv",
    "version": 1
  }
}