Pith Number

pith:SYC3MVAA

pith:2013:SYC3MVAATOK4LXN64WVPGQPRFX

not attested not anchored not stored refs pending

Platonic solids generate their four-dimensional analogues

Pierre-Philippe Dechant

arxiv:1307.6768 v1 · 2013-07-25 · math-ph · hep-th · math.GR · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYC3MVAATOK4LXN64WVPGQPRFX}

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	2026-05-18T02:58:45.971408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9605b654009b95c5ddbee5aaf341f12df6f95792846c136d3a25a7aafdde2718

Aliases

arxiv: 1307.6768 · arxiv_version: 1307.6768v1 · doi: 10.48550/arxiv.1307.6768 · pith_short_12: SYC3MVAATOK4 · pith_short_16: SYC3MVAATOK4LXN6 · pith_short_8: SYC3MVAA

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/SYC3MVAATOK4LXN64WVPGQPRFX \
  | 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: 9605b654009b95c5ddbee5aaf341f12df6f95792846c136d3a25a7aafdde2718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed4af3af98edcc2d933f54d9a5e192f2332e0aa5eff2a8672ba00dc1634be43",
    "cross_cats_sorted": [
      "hep-th",
      "math.GR",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-25T15:02:44Z",
    "title_canon_sha256": "690d95e24854f6079d056b74abcfdf9914460686a69bb1343bd8be1993175e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6768",
    "kind": "arxiv",
    "version": 1
  }
}