Pith Number

pith:D2YNNF2Y

pith:2016:D2YNNF2YQSIA2463GGQHNDF4TE

not attested not anchored not stored refs pending

Theta integrals and generalized error functions

Stephen Kudla

arxiv:1608.03534 v1 · 2016-08-11 · 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{D2YNNF2YQSIA2463GGQHNDF4TE}

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	2026-05-18T01:09:28.758730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb0d6975884900d73db31a0768cbc993a32d7514be17dbaf9746eedcaa8c945

Aliases

arxiv: 1608.03534 · arxiv_version: 1608.03534v1 · doi: 10.48550/arxiv.1608.03534 · pith_short_12: D2YNNF2YQSIA · pith_short_16: D2YNNF2YQSIA2463 · pith_short_8: D2YNNF2Y

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/D2YNNF2YQSIA2463GGQHNDF4TE \
  | 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: 1eb0d6975884900d73db31a0768cbc993a32d7514be17dbaf9746eedcaa8c945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4008dad0c2a9f9aa22936f41d2e903aed87f6085ade600c1e6589bdc04ab47e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-11T16:59:20Z",
    "title_canon_sha256": "96394b5d2f9393b3c59cdf4f8162c6e5fde9f055e4a729c74c59ab2dfd450ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03534",
    "kind": "arxiv",
    "version": 1
  }
}