Pith Number

pith:B3VX7X3R

pith:2003:B3VX7X3RUWETRCYHYOCBJBIONH

not attested not anchored not stored refs pending

Dynamical zeta functions and Kummer congruences

J. Arias de Reyna

arxiv:math/0309190 v1 · 2003-09-11 · 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{B3VX7X3RUWETRCYHYOCBJBIONH}

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	2026-05-18T02:55:48.845674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eeb7fdf71a589388b07c38414850e69f440fc2691c6d701510a55da7aa12034

Aliases

arxiv: math/0309190 · arxiv_version: math/0309190v1 · doi: 10.48550/arxiv.math/0309190 · pith_short_12: B3VX7X3RUWET · pith_short_16: B3VX7X3RUWETRCYH · pith_short_8: B3VX7X3R

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/B3VX7X3RUWETRCYHYOCBJBIONH \
  | 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: 0eeb7fdf71a589388b07c38414850e69f440fc2691c6d701510a55da7aa12034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2155d793805653d75e73119fe1728e5c71506f47aed9c2bdbaa2679b18af9538",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-09-11T08:04:11Z",
    "title_canon_sha256": "77ace1e609841e5d36120adda9337ea1a49ac7736f4862cd73ef91ba99952982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309190",
    "kind": "arxiv",
    "version": 1
  }
}