Pith Number

pith:FDOND5TI

pith:2011:FDOND5TI53JBPNRIIUZANX426P

not attested not anchored not stored refs pending

Hadamard grade of power series

J.-P. Allouche, M. Mend\`es France

arxiv:1101.0526 v2 · 2011-01-03 · 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{FDOND5TI53JBPNRIIUZANX426P}

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	2026-05-18T04:06:33.331444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28dcd1f668eed217b628453206df9af3d1cb933212001e2f23f2b90cd9096d91

Aliases

arxiv: 1101.0526 · arxiv_version: 1101.0526v2 · doi: 10.48550/arxiv.1101.0526 · pith_short_12: FDOND5TI53JB · pith_short_16: FDOND5TI53JBPNRI · pith_short_8: FDOND5TI

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/FDOND5TI53JBPNRIIUZANX426P \
  | 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: 28dcd1f668eed217b628453206df9af3d1cb933212001e2f23f2b90cd9096d91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c4ac75d00864d1abf2ee548673c888c1daab5cea6615f24e94e7c89e2167ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-03T14:06:58Z",
    "title_canon_sha256": "511427362782b9382534569794c102627aeca2e120b69e5cfdc6ccde24a47233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0526",
    "kind": "arxiv",
    "version": 2
  }
}