Pith Number

pith:CMWE4XWM

pith:2026:CMWE4XWMKAD2AQ7NINABZDWCR6

not attested not anchored not stored refs pending

Evaluation of terminating and non-terminating sums containing the digamma function

Dmitrii Karp, Sergei Kalmykov, Vinay Shukla

arxiv:2608.01099 v1 · 2026-08-02 · 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{CMWE4XWMKAD2AQ7NINABZDWCR6}

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	2026-08-04T01:56:41.722012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132c4e5ecc5007a043ed43401c8ec28fb7035aedcd7ef4460df51e57a131713f

Aliases

arxiv: 2608.01099 · arxiv_version: 2608.01099v1 · doi: 10.48550/arxiv.2608.01099 · pith_short_12: CMWE4XWMKAD2 · pith_short_16: CMWE4XWMKAD2AQ7N · pith_short_8: CMWE4XWM

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/CMWE4XWMKAD2AQ7NINABZDWCR6 \
  | 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: 132c4e5ecc5007a043ed43401c8ec28fb7035aedcd7ef4460df51e57a131713f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75d7a6a033932081f36582ec6bdbd34294b51c2767dfe81956f43ce75ae9132",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-02T08:54:33Z",
    "title_canon_sha256": "d766b112d5070e9783a02f126554aa49e86abf2127930c26ba14de1745ce6ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01099",
    "kind": "arxiv",
    "version": 1
  }
}