Pith Number

pith:4YWONEV6

pith:1998:4YWONEV6HLK7ZHDYSCAVVYXZO4

not attested not anchored not stored refs pending

Computing Hecke eigenvalues below the cohomological dimension

Paul E. Gunnells

arxiv:math/9811134 v2 · 1998-11-23 · 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{4YWONEV6HLK7ZHDYSCAVVYXZO4}

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	2026-05-18T01:05:33.547198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62ce692be3ad5fc9c7890815ae2f97713a21b99260addd52edf96bfe65ceb44

Aliases

arxiv: math/9811134 · arxiv_version: math/9811134v2 · doi: 10.48550/arxiv.math/9811134 · pith_short_12: 4YWONEV6HLK7 · pith_short_16: 4YWONEV6HLK7ZHDY · pith_short_8: 4YWONEV6

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/4YWONEV6HLK7ZHDYSCAVVYXZO4 \
  | 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: e62ce692be3ad5fc9c7890815ae2f97713a21b99260addd52edf96bfe65ceb44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8951db2d216e814ccff8dfd4d6aa8edd10d8b70bef749bffb09a44aad8c209f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1998-11-23T18:11:25Z",
    "title_canon_sha256": "249a4e06da8c4eeec5eae5f5cd5a7b06cc83c148e82d192eda363644313a9af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811134",
    "kind": "arxiv",
    "version": 2
  }
}