Pith Number

pith:TC57VF7F

pith:2012:TC57VF7FNL33IRMM7YH4TGXT25

not attested not anchored not stored refs pending

Equidistribution of Signs for Modular Eigenforms of Half Integral Weight

Gabor Wiese, Ilker Inam

arxiv:1210.2319 v3 · 2012-10-08 · 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{TC57VF7FNL33IRMM7YH4TGXT25}

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	2026-05-18T02:20:10.982252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bbfa97e56af7b4458cfe0fc99af3d76cb00142c17fb5e8607578edb8ca6245

Aliases

arxiv: 1210.2319 · arxiv_version: 1210.2319v3 · doi: 10.48550/arxiv.1210.2319 · pith_short_12: TC57VF7FNL33 · pith_short_16: TC57VF7FNL33IRMM · pith_short_8: TC57VF7F

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/TC57VF7FNL33IRMM7YH4TGXT25 \
  | 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: 98bbfa97e56af7b4458cfe0fc99af3d76cb00142c17fb5e8607578edb8ca6245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435f93ee12feda76253b91b559b1d778bff7dad72ad4fd1645fc703205112840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-08T15:51:50Z",
    "title_canon_sha256": "f1970f81cd123b5e0434e9c47dcc927961ace2b2d2c060aed689fedd18ab1e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2319",
    "kind": "arxiv",
    "version": 3
  }
}