Pith Number

pith:P7K57FCJ

pith:1996:P7K57FCJJK44QVJYSOZVUPGD62

not attested not anchored not stored refs pending

The distribution of the eigenvalues of Hecke operators

David W. Farmer, J. Brian Conrey, William Duke

arxiv:math/9609214 v1 · 1996-09-10 · 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{P7K57FCJJK44QVJYSOZVUPGD62}

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	2026-05-18T01:05:47.027937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd5df94494ab9c8553893b35a3cc3f6ba9311996b7686bda498f2042e2b05cc

Aliases

arxiv: math/9609214 · arxiv_version: math/9609214v1 · doi: 10.48550/arxiv.math/9609214 · pith_short_12: P7K57FCJJK44 · pith_short_16: P7K57FCJJK44QVJY · pith_short_8: P7K57FCJ

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/P7K57FCJJK44QVJYSOZVUPGD62 \
  | 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: 7fd5df94494ab9c8553893b35a3cc3f6ba9311996b7686bda498f2042e2b05cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5aae4a497eccd2c3094e7f8adf974b2d89c9ee5ad55232eb5b9d669869fe322",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1996-09-10T00:00:00Z",
    "title_canon_sha256": "b08532098a95f2e7c49183fd653127b7702506b9d694e871a7cd4d032ad22ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9609214",
    "kind": "arxiv",
    "version": 1
  }
}