Pith Number

pith:5UROB52F

pith:2012:5UROB52F4N52WGW552RRC5YCTU

not attested not anchored not stored refs pending

On the computation of coefficients of modular forms: the reduction modulo p approach

Jinxiang Zeng, Linsheng Yin

arxiv:1211.1124 v4 · 2012-11-06 · 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{5UROB52F4N52WGW552RRC5YCTU}

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	2026-05-18T03:25:33.268904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed22e0f745e37bab1addeea31177029d03d75af3e19fecaadcffc9a9ca15c862

Aliases

arxiv: 1211.1124 · arxiv_version: 1211.1124v4 · doi: 10.48550/arxiv.1211.1124 · pith_short_12: 5UROB52F4N52 · pith_short_16: 5UROB52F4N52WGW5 · pith_short_8: 5UROB52F

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/5UROB52F4N52WGW552RRC5YCTU \
  | 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: ed22e0f745e37bab1addeea31177029d03d75af3e19fecaadcffc9a9ca15c862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb3805102ac6fc84354aa02035bdad708bb49408a9a34447ada29958d0a3b815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-06T07:04:25Z",
    "title_canon_sha256": "c8774bd5097137f77a567f97b3a39c6f0663ad457beced239cf05ff6d4d40610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1124",
    "kind": "arxiv",
    "version": 4
  }
}