Pith Number

pith:UTFUXHIJ

pith:2012:UTFUXHIJYXFEIHSQ5KAUMCS7R6

not attested not anchored not stored refs pending

Fixed Sequences for a Generalization of the Binomial Interpolated Operator and for some Other Operators

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1212.5195 v1 · 2012-12-20 · 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{UTFUXHIJYXFEIHSQ5KAUMCS7R6}

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	2026-05-18T03:38:03.223292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4cb4b9d09c5ca441e50ea81460a5f8f819d44725dc48aa714a4c7e6d038a279

Aliases

arxiv: 1212.5195 · arxiv_version: 1212.5195v1 · doi: 10.48550/arxiv.1212.5195 · pith_short_12: UTFUXHIJYXFE · pith_short_16: UTFUXHIJYXFEIHSQ · pith_short_8: UTFUXHIJ

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/UTFUXHIJYXFEIHSQ5KAUMCS7R6 \
  | 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: a4cb4b9d09c5ca441e50ea81460a5f8f819d44725dc48aa714a4c7e6d038a279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d07db4a07735f7a321f44176a1bb497263b539a6ab93fa31b1460042da0f51f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-20T19:16:16Z",
    "title_canon_sha256": "8d431f115813242bf8bb2be4ba7ae50d3ca124f27c6eddd616c244a9cecce172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5195",
    "kind": "arxiv",
    "version": 1
  }
}