Pith Number

pith:Z6OVDMIM

pith:2012:Z6OVDMIMWJQZ6VWNQNSJMNZ6Y3

not attested not anchored not stored refs pending

The rigidity of periodic frameworks as graphs on a fixed torus

Elissa Ross

arxiv:1202.6652 v1 · 2012-02-29 · 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{Z6OVDMIMWJQZ6VWNQNSJMNZ6Y3}

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	2026-05-18T04:01:11.980387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9d51b10cb2619f56cd836496373ec6c678b0acc8991bb1454a1378aa6e1307

Aliases

arxiv: 1202.6652 · arxiv_version: 1202.6652v1 · doi: 10.48550/arxiv.1202.6652 · pith_short_12: Z6OVDMIMWJQZ · pith_short_16: Z6OVDMIMWJQZ6VWN · pith_short_8: Z6OVDMIM

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/Z6OVDMIMWJQZ6VWNQNSJMNZ6Y3 \
  | 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: cf9d51b10cb2619f56cd836496373ec6c678b0acc8991bb1454a1378aa6e1307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91a98dfa174f20379e6b26b78129356c2abe0f1fb0103ccfa3178ac6307d37e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-02-29T19:18:44Z",
    "title_canon_sha256": "dad8c394c3fa94a265a52940ce560ca544609aeb67edbdab714a912d3fc033f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6652",
    "kind": "arxiv",
    "version": 1
  }
}