Pith Number

pith:SUYF453H

pith:2011:SUYF453HSAJ555OZKM4GGXWYST

not attested not anchored not stored refs pending

Polynomials for Crystal Frameworks and the Rigid Unit Mode Spectrum

S. C. Power

arxiv:1102.2744 v3 · 2011-02-14 · math.CO · math-ph · 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{SUYF453HSAJ555OZKM4GGXWYST}

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	2026-05-18T03:29:04.008714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95305e77679013def5d95338635ed894f3beba1672737b8330972da362de0c4a

Aliases

arxiv: 1102.2744 · arxiv_version: 1102.2744v3 · doi: 10.48550/arxiv.1102.2744 · pith_short_12: SUYF453HSAJ5 · pith_short_16: SUYF453HSAJ555OZ · pith_short_8: SUYF453H

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/SUYF453HSAJ555OZKM4GGXWYST \
  | 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: 95305e77679013def5d95338635ed894f3beba1672737b8330972da362de0c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97f64b379ddd267652125081bf1f50625d9e3fe4db067273feefd476fb41495",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-14T11:54:51Z",
    "title_canon_sha256": "e5168fd93ae168df5f5b848486272931bcbf136ebf296c960a0da6585df91b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2744",
    "kind": "arxiv",
    "version": 3
  }
}