Pith Number

pith:WK7EWM6E

pith:2024:WK7EWM6EAIDJCARAB6U32RTSMN

not attested not anchored not stored refs pending

Integrality of Hecke eigenvalues and the growth of Hecke fields

Kenji Sakugawa, Shingo Sugiyama

arxiv:2401.11716 v2 · 2024-01-22 · 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{WK7EWM6EAIDJCARAB6U32RTSMN}

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	2026-06-01T02:03:17.311153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2be4b33c402069102200fa9bd4672634b8ec2e51031e66f38b8f85e3028960f

Aliases

arxiv: 2401.11716 · arxiv_version: 2401.11716v2 · doi: 10.48550/arxiv.2401.11716 · pith_short_12: WK7EWM6EAIDJ · pith_short_16: WK7EWM6EAIDJCARA · pith_short_8: WK7EWM6E

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/WK7EWM6EAIDJCARAB6U32RTSMN \
  | 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: b2be4b33c402069102200fa9bd4672634b8ec2e51031e66f38b8f85e3028960f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5747113462c416b05b5bf4be370a9c00e6b3aa0711ac8f73cfd49ae6ae41eec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-22T06:36:57Z",
    "title_canon_sha256": "531ee25b513343de6e578f5ca7724cdad257c90edeaee012ad624406cf53f3b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.11716",
    "kind": "arxiv",
    "version": 2
  }
}