Pith Number

pith:VDQ3RRLB

pith:2015:VDQ3RRLB7PNVKE727B7YR7O3XG

not attested not anchored not stored refs pending

Polynomial sequences on quadratic curves

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1512.03182 v1 · 2015-12-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDQ3RRLB7PNVKE727B7YR7O3XG}

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	2026-05-18T01:24:37.723406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e1b8c561fbdb5513faf87f88fddbb9bef36911b98a30f8d93c06124219a285

Aliases

arxiv: 1512.03182 · arxiv_version: 1512.03182v1 · doi: 10.48550/arxiv.1512.03182 · pith_short_12: VDQ3RRLB7PNV · pith_short_16: VDQ3RRLB7PNVKE72 · pith_short_8: VDQ3RRLB

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/VDQ3RRLB7PNVKE727B7YR7O3XG \
  | 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: a8e1b8c561fbdb5513faf87f88fddbb9bef36911b98a30f8d93c06124219a285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e1abfada811c66cf5e64f2df9b331153009c5747bee930046c684e041115d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-10T09:20:18Z",
    "title_canon_sha256": "f13d5b0f7eca7f6c057a18708fbe020e0300c0b55209af91a7b6df74aa27fd1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03182",
    "kind": "arxiv",
    "version": 1
  }
}