Pith Number

pith:YWV55IZQ

pith:2013:YWV55IZQUM6NASBSGMRFWSDL7A

not attested not anchored not stored refs pending

Coloring distance graphs: a few answers and many questions

Beno\^it Kloeckner (IF)

arxiv:1305.2765 v1 · 2013-05-13 · 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{YWV55IZQUM6NASBSGMRFWSDL7A}

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	2026-05-18T03:25:47.427910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5abdea330a33cd0483233225b486bf812fd8ba50dc57bc0b61fa477f7f681be

Aliases

arxiv: 1305.2765 · arxiv_version: 1305.2765v1 · doi: 10.48550/arxiv.1305.2765 · pith_short_12: YWV55IZQUM6N · pith_short_16: YWV55IZQUM6NASBS · pith_short_8: YWV55IZQ

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/YWV55IZQUM6NASBSGMRFWSDL7A \
  | 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: c5abdea330a33cd0483233225b486bf812fd8ba50dc57bc0b61fa477f7f681be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545ff40c73d731940a81dbe248a5d46975ba3033a01a25947d3472f5f5d8c50b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-13T13:08:13Z",
    "title_canon_sha256": "c34f6c0b3741f8dba818b4105d26b511eb56a6ac7de69a1cf6cf969a244d50b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2765",
    "kind": "arxiv",
    "version": 1
  }
}