Pith Number

pith:3CTK65C4

pith:2024:3CTK65C4TI2X4PKJB3DOBKI3FB

not attested not anchored not stored refs pending

Chromatic number of randomly augmented graphs

Anand Srivastav, Jan Geest

arxiv:2406.14223 v2 · 2024-06-20 · 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{3CTK65C4TI2X4PKJB3DOBKI3FB}

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	2026-07-05T08:42:37.306361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8a6af745c9a357e3d490ec6e0a91b285a4beeea3e1eb1f5fc33fc42158a7595

Aliases

arxiv: 2406.14223 · arxiv_version: 2406.14223v2 · doi: 10.48550/arxiv.2406.14223 · pith_short_12: 3CTK65C4TI2X · pith_short_16: 3CTK65C4TI2X4PKJ · pith_short_8: 3CTK65C4

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/3CTK65C4TI2X4PKJB3DOBKI3FB \
  | 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: d8a6af745c9a357e3d490ec6e0a91b285a4beeea3e1eb1f5fc33fc42158a7595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28640c92c8410519383932f48f13788b9c08068ec997e8507738ba0d26bd5280",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-20T11:42:15Z",
    "title_canon_sha256": "6be06224fbea28820585dffbb8a73e06c1b04e27df271a6811e4db18a84b1636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.14223",
    "kind": "arxiv",
    "version": 2
  }
}