Pith Number

pith:5UE3THAX

pith:2016:5UE3THAXUWO45A2KSTXH6PANJW

not attested not anchored not stored refs pending

Chromatic number of signed graphs with bounded maximum degree

Sagnik Sen, Sandip Das, Soumen Nandi, Soumyajit Paul

arxiv:1603.09557 v1 · 2016-03-31 · 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{5UE3THAXUWO45A2KSTXH6PANJW}

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	2026-05-18T01:17:58.282885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed09b99c17a59dce834a94ee7f3c0d4da07049d44ec6afbbc18a5f48ec862ed8

Aliases

arxiv: 1603.09557 · arxiv_version: 1603.09557v1 · doi: 10.48550/arxiv.1603.09557 · pith_short_12: 5UE3THAXUWO4 · pith_short_16: 5UE3THAXUWO45A2K · pith_short_8: 5UE3THAX

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/5UE3THAXUWO45A2KSTXH6PANJW \
  | 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: ed09b99c17a59dce834a94ee7f3c0d4da07049d44ec6afbbc18a5f48ec862ed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e436f766b491921d9ac2e6c94f824cda5d8d74b8cb0d41da68ae21849785d39c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-31T12:36:29Z",
    "title_canon_sha256": "06806fcfe35d449b7266db70a71dc4bb3c214a4f3d8eb35c1196f69d7dec57a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09557",
    "kind": "arxiv",
    "version": 1
  }
}