Pith Number

pith:DVDJXFDF

pith:2011:DVDJXFDFX3HJUN2WYBXGD6WTHQ

not attested not anchored not stored refs pending

Transforming Recurrent Sequences by Using the Binomial and Invert Operators

Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1105.2143 v1 · 2011-05-11 · 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{DVDJXFDFX3HJUN2WYBXGD6WTHQ}

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	2026-05-18T04:22:21.440169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d469b9465bece9a3756c06e61fad33c24bd4fa73ba5554673a69d4348f7ee20

Aliases

arxiv: 1105.2143 · arxiv_version: 1105.2143v1 · doi: 10.48550/arxiv.1105.2143 · pith_short_12: DVDJXFDFX3HJ · pith_short_16: DVDJXFDFX3HJUN2W · pith_short_8: DVDJXFDF

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/DVDJXFDFX3HJUN2WYBXGD6WTHQ \
  | 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: 1d469b9465bece9a3756c06e61fad33c24bd4fa73ba5554673a69d4348f7ee20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4347796d60a47f1496ed17f14e814ff07eed0fc4c36d25fada317a2b737ea99d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-11T09:59:29Z",
    "title_canon_sha256": "fc32f87189e7f2d403a036b12a3f31a8b248749ad23a2019acf8ad21568a36d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2143",
    "kind": "arxiv",
    "version": 1
  }
}