Pith Number

pith:4GCVGTTJ

pith:1998:4GCVGTTJCVF2INJ7VMFFR3QL7B

not attested not anchored not stored refs pending

Factoring Hecke polynomials modulo a prime

David W. Farmer (AIM), J. Brian Conrey (AIM), Peter Jake Wallace (University of Illinois)

arxiv:math/9811179 v1 · 1998-11-15 · 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{4GCVGTTJCVF2INJ7VMFFR3QL7B}

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	2026-05-18T01:05:33.529410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e185534e69154ba4353fab0a58ee0bf8724cb1722ad630c4ef7cc6329ca37c54

Aliases

arxiv: math/9811179 · arxiv_version: math/9811179v1 · doi: 10.48550/arxiv.math/9811179 · pith_short_12: 4GCVGTTJCVF2 · pith_short_16: 4GCVGTTJCVF2INJ7 · pith_short_8: 4GCVGTTJ

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/4GCVGTTJCVF2INJ7VMFFR3QL7B \
  | 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: e185534e69154ba4353fab0a58ee0bf8724cb1722ad630c4ef7cc6329ca37c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ff2b989acb951431d2d77a983d6ecf2de9242a759f6d1e1781a39879715fea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1998-11-15T00:00:00Z",
    "title_canon_sha256": "ded0a60eeda92547318392446014ffbb8f38dec7328bbc35337a8ea59ab76b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811179",
    "kind": "arxiv",
    "version": 1
  }
}