Pith Number

pith:RQFSZDQ2

pith:2023:RQFSZDQ2PUZVF5SYOZCXEONYNG

not attested not anchored not stored refs pending

Sums involving the digamma function connected to the incomplete beta function and the Bessel functions

Fernando S\'anchez Lasheras, Juan L. Gonz\'alez-Santander

arxiv:2304.01208 v1 · 2023-03-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQFSZDQ2PUZVF5SYOZCXEONYNG}

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	2026-07-05T06:04:55.301115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c0b2c8e1a7d3352f65876457239b869a316b624676ec48948696fd4b3c6831e

Aliases

arxiv: 2304.01208 · arxiv_version: 2304.01208v1 · doi: 10.48550/arxiv.2304.01208 · pith_short_12: RQFSZDQ2PUZV · pith_short_16: RQFSZDQ2PUZVF5SY · pith_short_8: RQFSZDQ2

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/RQFSZDQ2PUZVF5SYOZCXEONYNG \
  | 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: 8c0b2c8e1a7d3352f65876457239b869a316b624676ec48948696fd4b3c6831e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530a0279632d14e1ad5f2632d1327fe4de6f607655ff350a9caaa5938b02523c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-03-24T10:23:46Z",
    "title_canon_sha256": "05c14ce59f6c5c66d259376c71e0453fb3a1c64467630c764e2d691a0c9ab48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.01208",
    "kind": "arxiv",
    "version": 1
  }
}