Pith Number

pith:LW7YS5MI

pith:2010:LW7YS5MIWITYPQWYJYTK3HAR54

not attested not anchored not stored refs pending

Modified Jacobi forms of index zero (II)

Dong Hwa Shin, Ja Kyung Koo

arxiv:1006.2583 v3 · 2010-06-14 · 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{LW7YS5MIWITYPQWYJYTK3HAR54}

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	2026-05-18T04:42:43.171039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbf897588b22787c2d84e26ad9c11ef00a97840f2ca150e0c4de0bd2385dc3f

Aliases

arxiv: 1006.2583 · arxiv_version: 1006.2583v3 · doi: 10.48550/arxiv.1006.2583 · pith_short_12: LW7YS5MIWITY · pith_short_16: LW7YS5MIWITYPQWY · pith_short_8: LW7YS5MI

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/LW7YS5MIWITYPQWYJYTK3HAR54 \
  | 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: 5dbf897588b22787c2d84e26ad9c11ef00a97840f2ca150e0c4de0bd2385dc3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf63383c3c06ff83b0709a94191e0bc27ce7471ed0e98afa3637559fad3c13c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-14T00:56:20Z",
    "title_canon_sha256": "ec4c2a29a1a73419b3dda1626803fc31a2e9b3e113be591d766701511d7dac30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2583",
    "kind": "arxiv",
    "version": 3
  }
}