Pith Number

pith:7SWHDK2Y

pith:2010:7SWHDK2YPKJ67OK43JJTFQEXXC

not attested not anchored not stored refs pending

Quasimodular forms, Jacobi-like forms, and pseudodifferential operators

Minho Lee, YoungJu Choie

arxiv:1007.4823 v1 · 2010-07-27 · 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{7SWHDK2YPKJ67OK43JJTFQEXXC}

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.

Cited by

1 paper in Pith

Mock modularity of Calabi-Yau threefolds

Receipt and verification

First computed	2026-07-04T17:32:24.836432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcac71ab587a93efb95cda5332c097b894afc1c7ecbebe24fedb0024f3d263eb

Aliases

arxiv: 1007.4823 · arxiv_version: 1007.4823v1 · doi: 10.48550/arxiv.1007.4823 · pith_short_12: 7SWHDK2YPKJ6 · pith_short_16: 7SWHDK2YPKJ67OK4 · pith_short_8: 7SWHDK2Y

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/7SWHDK2YPKJ67OK43JJTFQEXXC \
  | 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: fcac71ab587a93efb95cda5332c097b894afc1c7ecbebe24fedb0024f3d263eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0130b7c4a125120002c211abbab9c309be20ca12c20b56d9c600664891777c2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-27T20:58:44Z",
    "title_canon_sha256": "bd5441de238a722eca03eb84c812532e1c6673f8568db5587e8618d5049d9ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4823",
    "kind": "arxiv",
    "version": 1
  }
}