Pith Number

pith:NM66SDOB

pith:2022:NM66SDOB7ORS4C3V252RAIGOI7

not attested not anchored not stored refs pending

Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Jan H. Bruinier, Tonghai Yang, Yingkun Li

arxiv:2204.10604 v3 · 2022-04-22 · 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{NM66SDOB7ORS4C3V252RAIGOI7}

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

Hilbert Eisenstein series as Doi-Naganuma lift

Receipt and verification

First computed	2026-07-05T10:12:12.240399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b3de90dc1fba32e0b75d7751020ce47c1a28121e3eb0202b2ee07570b6b157b

Aliases

arxiv: 2204.10604 · arxiv_version: 2204.10604v3 · doi: 10.48550/arxiv.2204.10604 · pith_short_12: NM66SDOB7ORS · pith_short_16: NM66SDOB7ORS4C3V · pith_short_8: NM66SDOB

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/NM66SDOB7ORS4C3V252RAIGOI7 \
  | 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: 6b3de90dc1fba32e0b75d7751020ce47c1a28121e3eb0202b2ee07570b6b157b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a72812f5fa532a041156d3c3da5d34a9df92ef36c675225079bd5bd270bc4c05",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-22T09:47:12Z",
    "title_canon_sha256": "0ae5c8a15c1629039b679bb65c9678ef991ed0f8fd99e1bd97ee4c212a8e9fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10604",
    "kind": "arxiv",
    "version": 3
  }
}