Pith Number

pith:RP5BSEVS

pith:2019:RP5BSEVS3XXIZSQMNEF2FH3LJD

not attested not anchored not stored refs pending

Branko Gr\"unbaum in many dimensions

Matthew Kahle

arxiv:1901.08622 v2 · 2019-01-24 · 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{RP5BSEVS3XXIZSQMNEF2FH3LJD}

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	2026-05-17T23:40:39.088843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bfa1912b2ddee8cca0c690ba29f6b48c3775d5f81cf613e272f8d23b4994145

Aliases

arxiv: 1901.08622 · arxiv_version: 1901.08622v2 · doi: 10.48550/arxiv.1901.08622 · pith_short_12: RP5BSEVS3XXI · pith_short_16: RP5BSEVS3XXIZSQM · pith_short_8: RP5BSEVS

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/RP5BSEVS3XXIZSQMNEF2FH3LJD \
  | 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: 8bfa1912b2ddee8cca0c690ba29f6b48c3775d5f81cf613e272f8d23b4994145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf723cec1d708b36c3f20c80c575a58a6b05d0e8707528a4f6e2f5bb4ccb995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-24T19:42:40Z",
    "title_canon_sha256": "9e8c9dabd05b998e78ab3d2f05f85af12f4f086e9873a5b521de55f06a27cd25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08622",
    "kind": "arxiv",
    "version": 2
  }
}