Pith Number

pith:43JAPESO

pith:2011:43JAPESO3SA4OD6DRF75OBB6OK

not attested not anchored not stored refs pending

Multidimensional necklaces and measurable colorings of R^n

Wojciech Lubawski

arxiv:1111.3519 v3 · 2011-11-15 · 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{43JAPESO3SA4OD6DRF75OBB6OK}

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	2026-05-18T03:33:59.920775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d207924edc81c70fc3897fd7043e72ade029fba627a30fdb9c84f7b9ff4c5f

Aliases

arxiv: 1111.3519 · arxiv_version: 1111.3519v3 · doi: 10.48550/arxiv.1111.3519 · pith_short_12: 43JAPESO3SA4 · pith_short_16: 43JAPESO3SA4OD6D · pith_short_8: 43JAPESO

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/43JAPESO3SA4OD6DRF75OBB6OK \
  | 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: e6d207924edc81c70fc3897fd7043e72ade029fba627a30fdb9c84f7b9ff4c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52b483fd5d15192096f221f6e8d815cbcd11d5faa10ead4468077f5934bb6e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-15T12:58:47Z",
    "title_canon_sha256": "9b98feac88e7ec78312c0ab99640c1a22699b464de05de71452bb83ed4e8d21e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3519",
    "kind": "arxiv",
    "version": 3
  }
}