Pith Number

pith:IFNGWBTN

pith:2009:IFNGWBTNLXOPNP4AOTYQU4JFQE

not attested not anchored not stored refs pending

Effective Bounds for P-Recursive Sequences

Bruno Salvy, Marc Mezzarobba

arxiv:0904.2452 v2 · 2009-04-16 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFNGWBTNLXOPNP4AOTYQU4JFQE}

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	2026-05-18T03:20:45.806436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415a6b066d5ddcf6bf8074f10a7125812f8dd858ea4d5888fa8619f8173a04d0

Aliases

arxiv: 0904.2452 · arxiv_version: 0904.2452v2 · doi: 10.48550/arxiv.0904.2452 · pith_short_12: IFNGWBTNLXOP · pith_short_16: IFNGWBTNLXOPNP4A · pith_short_8: IFNGWBTN

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/IFNGWBTNLXOPNP4AOTYQU4JFQE \
  | 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: 415a6b066d5ddcf6bf8074f10a7125812f8dd858ea4d5888fa8619f8173a04d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ac5c7cfc002a5128c69a3c6e9b5b7ea161f36b9f928b7a26a0107ad0907caa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2009-04-16T09:39:09Z",
    "title_canon_sha256": "8575626b81478632353b38d8e69ab652b4be958d7c0835408432a3f3ed2ee0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2452",
    "kind": "arxiv",
    "version": 2
  }
}