Pith Number

pith:J3PCKA3L

pith:2024:J3PCKA3LHHJH6AXKKGXX6Q22GA

not attested not anchored not stored refs pending

Traces of Hecke Operators via Hypergeometric Character Sums

Fang-Ting Tu, Jerome W. Hoffman, Ling Long, Wen-Ching Winnie Li

arxiv:2408.02918 v2 · 2024-08-06 · 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{J3PCKA3LHHJH6AXKKGXX6Q22GA}

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.

Cited by

1 paper in Pith

Hypergeometric Distributions and Joint Families of Elliptic Curves

Receipt and verification

First computed	2026-07-05T10:23:21.811409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ede25036b39d27f02ea51af7f435a30065857f4c1a623dbc10336193251ba78

Aliases

arxiv: 2408.02918 · arxiv_version: 2408.02918v2 · doi: 10.48550/arxiv.2408.02918 · pith_short_12: J3PCKA3LHHJH · pith_short_16: J3PCKA3LHHJH6AXK · pith_short_8: J3PCKA3L

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/J3PCKA3LHHJH6AXKKGXX6Q22GA \
  | 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: 4ede25036b39d27f02ea51af7f435a30065857f4c1a623dbc10336193251ba78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba812619788b4ce137869570d9a2c2a966bf189ae04410b1c83cf873022836f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-06T03:06:45Z",
    "title_canon_sha256": "6f3e312e9a97e0bf59160e72b4ca19105dd02f6de8908ad44ceec4dfd108b248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02918",
    "kind": "arxiv",
    "version": 2
  }
}