Pith Number

pith:QDPQY2AK

pith:2018:QDPQY2AKEFFT3UN25MU4EZZAWC

not attested not anchored not stored refs pending

Positive-definiteness and integral representations for special functions

Ant\'onio Paix\~ao, Jorge Buescu

arxiv:1801.09537 v1 · 2018-01-29 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDPQY2AKEFFT3UN25MU4EZZAWC}

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	2026-05-18T00:24:57.115958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80df0c680a214b3dd1baeb29c26720b097c942ecb9f7747fb3c511dbbb181be3

Aliases

arxiv: 1801.09537 · arxiv_version: 1801.09537v1 · doi: 10.48550/arxiv.1801.09537 · pith_short_12: QDPQY2AKEFFT · pith_short_16: QDPQY2AKEFFT3UN2 · pith_short_8: QDPQY2AK

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/QDPQY2AKEFFT3UN25MU4EZZAWC \
  | 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: 80df0c680a214b3dd1baeb29c26720b097c942ecb9f7747fb3c511dbbb181be3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb36a2e2613bc5f6c810830a237c7d8f4057201979b13bf899c5509e9bd2e62e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-01-29T14:48:05Z",
    "title_canon_sha256": "db0f564a60300a41e45473a2482a6a703965c78516a5cd9e7035c30d3d9bcac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09537",
    "kind": "arxiv",
    "version": 1
  }
}