Pith Number

pith:YORQPJN3

pith:1999:YORQPJN3HVHRGPMK3SQJ4W43RN

not attested not anchored not stored refs pending

Transition mean values of real characters

David W. Farmer (AIM), J. Brian Conrey (AIM), K. Soundararajan (AIM, Princeton University)

arxiv:math/9903197 v1 · 1999-03-24 · 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{YORQPJN3HVHRGPMK3SQJ4W43RN}

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	2026-05-18T01:05:33.195274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a307a5bb3d4f133d8adca09e5b9b8b63026e6900f96f6c1e32a2f7ad2b7185

Aliases

arxiv: math/9903197 · arxiv_version: math/9903197v1 · doi: 10.48550/arxiv.math/9903197 · pith_short_12: YORQPJN3HVHR · pith_short_16: YORQPJN3HVHRGPMK · pith_short_8: YORQPJN3

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/YORQPJN3HVHRGPMK3SQJ4W43RN \
  | 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: c3a307a5bb3d4f133d8adca09e5b9b8b63026e6900f96f6c1e32a2f7ad2b7185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2748b1e8745b432cdad2b0b54e1766fee1b0a5fe33dc8ffe601ec42ac7098be",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-03-24T00:00:00Z",
    "title_canon_sha256": "80757189ad5b615c89398d063249129923cb9e93a68c8e43333d402503255c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903197",
    "kind": "arxiv",
    "version": 1
  }
}