Pith Number

pith:Z7FPNBFS

pith:2013:Z7FPNBFSDSCFZN4FFZX6F7R4MQ

not attested not anchored not stored refs pending

Hecke grids and congruences for weakly holomorphic modular forms

Nickolas Andersen, Scott Ahlgren

arxiv:1305.7455 v1 · 2013-05-31 · 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{Z7FPNBFSDSCFZN4FFZX6F7R4MQ}

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	2026-05-18T02:18:52.061409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcaf684b21c845cb7852e6fe2fe3c641073a58615128a9053575f3021880702

Aliases

arxiv: 1305.7455 · arxiv_version: 1305.7455v1 · doi: 10.48550/arxiv.1305.7455 · pith_short_12: Z7FPNBFSDSCF · pith_short_16: Z7FPNBFSDSCFZN4F · pith_short_8: Z7FPNBFS

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/Z7FPNBFSDSCFZN4FFZX6F7R4MQ \
  | 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: cfcaf684b21c845cb7852e6fe2fe3c641073a58615128a9053575f3021880702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18cb98efbacd9b24403105c6698db11b7a7123e3beb2d602b8f87a6d36017e17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-31T15:34:20Z",
    "title_canon_sha256": "ed8f92e2ea919e50120e9df426b0f492cd6ef35cc2cd77896ef0541c9c67dda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7455",
    "kind": "arxiv",
    "version": 1
  }
}