Pith Number

pith:Y5UX4V7K

pith:2005:Y5UX4V7K4UJ4SZY7IXDQPFM2BC

not attested not anchored not stored refs pending

Generalized Number Derivatives

Michael Stay

arxiv:math/0508364 v1 · 2005-08-19 · 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{Y5UX4V7K4UJ4SZY7IXDQPFM2BC}

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	2026-07-04T14:40:19.030602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7697e57eae513c9671f45c707959a0893e4a6bfe5250f78eebe90755c68e7d4

Aliases

arxiv: math/0508364 · arxiv_version: math/0508364v1 · doi: 10.48550/arxiv.math/0508364 · pith_short_12: Y5UX4V7K4UJ4 · pith_short_16: Y5UX4V7K4UJ4SZY7 · pith_short_8: Y5UX4V7K

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/Y5UX4V7K4UJ4SZY7IXDQPFM2BC \
  | 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: c7697e57eae513c9671f45c707959a0893e4a6bfe5250f78eebe90755c68e7d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1b60c883346f16535deb11da175e2ed22fac250502efb4082f8baa5ade9f6e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-08-19T02:54:04Z",
    "title_canon_sha256": "1c793f64d07937b3059214fcd60ee71fe08ff6ed4c74c7279c3b90aa284ee210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508364",
    "kind": "arxiv",
    "version": 1
  }
}