Pith Number

pith:UYNUZLUD

pith:2016:UYNUZLUDCWQAJTKVARZIFM6HS7

not attested not anchored not stored refs pending

Geodesic period integrals of eigenfunctions on Riemannian surfaces and the Gauss-Bonnet Theorem

Cheng Zhang, Christopher D. Sogge, Yakun Xi

arxiv:1604.03189 v2 · 2016-04-12 · math.AP · math.CA · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYNUZLUDCWQAJTKVARZIFM6HS7}

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	2026-05-18T00:47:38.237155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a61b4cae8315a004cd55047282b3c797e921603c35875d7be05d651ada828053

Aliases

arxiv: 1604.03189 · arxiv_version: 1604.03189v2 · doi: 10.48550/arxiv.1604.03189 · pith_short_12: UYNUZLUDCWQA · pith_short_16: UYNUZLUDCWQAJTKV · pith_short_8: UYNUZLUD

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/UYNUZLUDCWQAJTKVARZIFM6HS7 \
  | 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: a61b4cae8315a004cd55047282b3c797e921603c35875d7be05d651ada828053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b0674a9a016af94e1c4669f134b89ddad1541ba39db13127ac3f7c5d618a2f",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-12T01:04:57Z",
    "title_canon_sha256": "9e101ab1626f8daa16e99fd9daa1638b8bfaeea600acc9b40f66b5cb5be5413f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03189",
    "kind": "arxiv",
    "version": 2
  }
}