Pith Number

pith:GDCOH3LO

pith:2015:GDCOH3LOQERXIITARA466P6NWU

not attested not anchored not stored refs pending

A probabilistic Hadwiger-Nelson problem

Jean-Marc Robert, Marc Heinrich, Paul Melotti, Thomas Bourgeat

arxiv:1501.02441 v1 · 2015-01-11 · 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{GDCOH3LOQERXIITARA466P6NWU}

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	2026-05-18T02:29:37.953184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c4e3ed6e81237422608839ef3fcdb52f2b266d2da9090a473f2e8e2f255d89

Aliases

arxiv: 1501.02441 · arxiv_version: 1501.02441v1 · doi: 10.48550/arxiv.1501.02441 · pith_short_12: GDCOH3LOQERX · pith_short_16: GDCOH3LOQERXIITA · pith_short_8: GDCOH3LO

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/GDCOH3LOQERXIITARA466P6NWU \
  | 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: 30c4e3ed6e81237422608839ef3fcdb52f2b266d2da9090a473f2e8e2f255d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71ad2fb4fb6fbce58dd7706e40e30e0248fe77851d608692172e78fc079299b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-11T10:49:35Z",
    "title_canon_sha256": "cec5c071608a055eab1cbd6a517c68e650130b061808197b60a4a31dd00ee1d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02441",
    "kind": "arxiv",
    "version": 1
  }
}