Pith Number

pith:NNOD3FIA

pith:2012:NNOD3FIAUCU7DZV2VI6SKBEDOX

not attested not anchored not stored refs pending

On cubic-linear polynomial mappings

Gaetano Zampieri, Gianluca Gorni

arxiv:1204.4026 v1 · 2012-04-18 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNOD3FIAUCU7DZV2VI6SKBEDOX}

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	2026-05-18T03:57:37.938342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5c3d9500a0a9f1e6baaa3d25048375d1f7ef49dcc49ac0851ea3c2865c9aed

Aliases

arxiv: 1204.4026 · arxiv_version: 1204.4026v1 · doi: 10.48550/arxiv.1204.4026 · pith_short_12: NNOD3FIAUCU7 · pith_short_16: NNOD3FIAUCU7DZV2 · pith_short_8: NNOD3FIA

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/NNOD3FIAUCU7DZV2VI6SKBEDOX \
  | 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: 6b5c3d9500a0a9f1e6baaa3d25048375d1f7ef49dcc49ac0851ea3c2865c9aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd109e395c636fd967d3e338d3c317b846ea69a8ffcf47bdaa68090526f32fcf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-04-18T09:29:23Z",
    "title_canon_sha256": "1488fa74cfbafd177ab6c4ff5c3f8bb4eb596bfc5b4e1ebe31cf008ab7351b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4026",
    "kind": "arxiv",
    "version": 1
  }
}