Pith Number

pith:DT5OQOMI

pith:2019:DT5OQOMILRO7O5M747STBKADEB

not attested not anchored not stored refs pending

Equality cases for a bound on the chromatic number

Boon Suan Ho, Joel Junyao Tan, Xiaorui Zhang

arxiv:1903.03821 v1 · 2019-03-09 · 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{DT5OQOMILRO7O5M747STBKADEB}

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	2026-05-17T23:51:40.866644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cfae839885c5df7759fe7e530a803205e75008724a9fc0ea5cd433e0fa2500c

Aliases

arxiv: 1903.03821 · arxiv_version: 1903.03821v1 · doi: 10.48550/arxiv.1903.03821 · pith_short_12: DT5OQOMILRO7 · pith_short_16: DT5OQOMILRO7O5M7 · pith_short_8: DT5OQOMI

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/DT5OQOMILRO7O5M747STBKADEB \
  | 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: 1cfae839885c5df7759fe7e530a803205e75008724a9fc0ea5cd433e0fa2500c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af80d966d38fd1f12e53a8c9480e80b0471db0da621247fdb1d7d0e0731de49",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-09T15:43:33Z",
    "title_canon_sha256": "2bff2e51b0a90f5bf478f7db395e65aa9209ea0b5a43fcd36c174f4c821d4636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03821",
    "kind": "arxiv",
    "version": 1
  }
}