Pith Number

pith:JUUXHM5H

pith:2005:JUUXHM5H26W5UK2H4UQSOTWRCS

not attested not anchored not stored refs pending

Applications of the L-functions ratios conjectures

J.B. Conrey, N.C. Snaith

arxiv:math/0509480 v2 · 2005-09-21 · 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{JUUXHM5H26W5UK2H4UQSOTWRCS}

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	2026-05-18T04:08:53.781946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d2973b3a7d7adda2b47e521274ed114b01f0f41a192a1aac0a87da6b2b69c45

Aliases

arxiv: math/0509480 · arxiv_version: math/0509480v2 · doi: 10.48550/arxiv.math/0509480 · pith_short_12: JUUXHM5H26W5 · pith_short_16: JUUXHM5H26W5UK2H · pith_short_8: JUUXHM5H

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/JUUXHM5H26W5UK2H4UQSOTWRCS \
  | 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: 4d2973b3a7d7adda2b47e521274ed114b01f0f41a192a1aac0a87da6b2b69c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f688177e1f114bf540a3d1a6f2d24d1bd683cae36bc06aa9efaa17e8ae9e485a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-09-21T14:02:44Z",
    "title_canon_sha256": "9c13f881540749dd3a486a707a4d54aae4aaeb4c593510f468b6365cb241264f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509480",
    "kind": "arxiv",
    "version": 2
  }
}