Pith Number

pith:WGEMWTZX

pith:2015:WGEMWTZXU7BZM7A7EZQ5IZCPXO

not attested not anchored not stored refs pending

Asymptotically optimal neighbour sum distinguishing total colourings of graphs

Jakub Przyby{\l}o

arxiv:1508.01062 v1 · 2015-08-05 · 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{WGEMWTZXU7BZM7A7EZQ5IZCPXO}

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	2026-05-18T01:35:44.148915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b188cb4f37a7c3967c1f2661d4644fbb8125494a67e682f9e5a1eca27ed4054e

Aliases

arxiv: 1508.01062 · arxiv_version: 1508.01062v1 · doi: 10.48550/arxiv.1508.01062 · pith_short_12: WGEMWTZXU7BZ · pith_short_16: WGEMWTZXU7BZM7A7 · pith_short_8: WGEMWTZX

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/WGEMWTZXU7BZM7A7EZQ5IZCPXO \
  | 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: b188cb4f37a7c3967c1f2661d4644fbb8125494a67e682f9e5a1eca27ed4054e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0c3e19ec4c11a982097bebfef035e6b18d38fa72f2c6ee69678922827f9a03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-05T13:11:33Z",
    "title_canon_sha256": "e139eef0b90f3c782b942eed70ae50c4feeef20a31c29a038fc63d9bcb4160f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01062",
    "kind": "arxiv",
    "version": 1
  }
}