Pith Number

pith:D4A3DPS5

pith:2014:D4A3DPS5JFVXICL4DLFHRBWXW4

not attested not anchored not stored refs pending

A Duality Transform for Constructing Small Grid Embeddings of 3d Polytopes

Alexander Igamberdiev, Andr\'e Schulz

arxiv:1402.1660 v3 · 2014-02-07 · cs.CG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4A3DPS5JFVXICL4DLFHRBWXW4}

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	2026-05-18T01:22:08.726196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f01b1be5d496b74097c1aca7886d7b7383b86adb58e4706860e01e88805f586

Aliases

arxiv: 1402.1660 · arxiv_version: 1402.1660v3 · doi: 10.48550/arxiv.1402.1660 · pith_short_12: D4A3DPS5JFVX · pith_short_16: D4A3DPS5JFVXICL4 · pith_short_8: D4A3DPS5

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/D4A3DPS5JFVXICL4DLFHRBWXW4 \
  | 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: 1f01b1be5d496b74097c1aca7886d7b7383b86adb58e4706860e01e88805f586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c13ba7b407eb44da6226ac7f1dcede213fc925d3f5ad14de22ff5267851bf9d3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-02-07T15:03:52Z",
    "title_canon_sha256": "d5a88b3c4cece3186f590fbcf7075b4017e93143f5186ecab08abf9c7eeea4dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1660",
    "kind": "arxiv",
    "version": 3
  }
}