Pith Number

pith:GZWG3B3D

pith:2015:GZWG3B3D5FUG64QSM5N2VWWEEM

not attested not anchored not stored refs pending

Hurwitz integrality of power series expansion of the sigma function for a plane curve

Yoshihiro \^Onishi

arxiv:1510.03002 v1 · 2015-10-11 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZWG3B3D5FUG64QSM5N2VWWEEM}

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	2026-05-18T01:30:33.011994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366c6d8763e9686f7212675baadac42319ae6b3136056bbce7e3e22f90705ccc

Aliases

arxiv: 1510.03002 · arxiv_version: 1510.03002v1 · doi: 10.48550/arxiv.1510.03002 · pith_short_12: GZWG3B3D5FUG · pith_short_16: GZWG3B3D5FUG64QS · pith_short_8: GZWG3B3D

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/GZWG3B3D5FUG64QSM5N2VWWEEM \
  | 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: 366c6d8763e9686f7212675baadac42319ae6b3136056bbce7e3e22f90705ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f78ddf2c01339b80960b1dd9c9c828c5f2aa0597da5173c9534bedaa8ba413",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-11T02:45:11Z",
    "title_canon_sha256": "95a1630b3dbb459bb441c3ff2312e7a86da4790227714fa43b708afb3e3eae89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03002",
    "kind": "arxiv",
    "version": 1
  }
}