Pith Number

pith:X7EU2MXJ

pith:2014:X7EU2MXJ4B72Z3NTXX4SJMCC5I

not attested not anchored not stored refs pending

Splitting necklaces and measurable colorings of the real line

Jaros{\l}aw Grytczuk, Mateusz Micha{\l}ek, Micha{\l} Laso\'n, Noga Alon

arxiv:1412.7996 v1 · 2014-12-26 · 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{X7EU2MXJ4B72Z3NTXX4SJMCC5I}

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	2026-05-18T02:30:24.459972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc94d32e9e07facedb3bdf924b042ea38db3a6c8aa5cefa8332a52658471e89

Aliases

arxiv: 1412.7996 · arxiv_version: 1412.7996v1 · doi: 10.48550/arxiv.1412.7996 · pith_short_12: X7EU2MXJ4B72 · pith_short_16: X7EU2MXJ4B72Z3NT · pith_short_8: X7EU2MXJ

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/X7EU2MXJ4B72Z3NTXX4SJMCC5I \
  | 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: bfc94d32e9e07facedb3bdf924b042ea38db3a6c8aa5cefa8332a52658471e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dbe71569a6d07531e7bc203e53dc209855267b7f0ca70168d68e7e769d25c01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-26T21:51:42Z",
    "title_canon_sha256": "6810f197be8580e4c114d722ab62c101d3bd662ba0439a818352893a16d8c0de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7996",
    "kind": "arxiv",
    "version": 1
  }
}