Pith Number

pith:VQH67LYW

pith:2014:VQH67LYW5H2XFU5I4TGAKWWDPE

not attested not anchored not stored refs pending

Ultrarigid periodic frameworks

Justin Malestein, Louis Theran

arxiv:1404.2319 v4 · 2014-04-08 · math.MG · cs.CG · 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{VQH67LYW5H2XFU5I4TGAKWWDPE}

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	2026-05-18T02:25:26.520817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0fefaf16e9f572d3a8e4cc055ac3791397ea12ffaf96f45789f1322fe35338

Aliases

arxiv: 1404.2319 · arxiv_version: 1404.2319v4 · doi: 10.48550/arxiv.1404.2319 · pith_short_12: VQH67LYW5H2X · pith_short_16: VQH67LYW5H2XFU5I · pith_short_8: VQH67LYW

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/VQH67LYW5H2XFU5I4TGAKWWDPE \
  | 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: ac0fefaf16e9f572d3a8e4cc055ac3791397ea12ffaf96f45789f1322fe35338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e1e141d9828a91ee295254229b8462a3adca904711bc74932fb717168dfca9",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-04-08T22:10:20Z",
    "title_canon_sha256": "d797efb8c58434569f979944e90a129aca37365af228a29300822d703fd1f3d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2319",
    "kind": "arxiv",
    "version": 4
  }
}