Pith Number

pith:4UTRGU2O

pith:2019:4UTRGU2OCF7MWVPMTHR2NKBVSP

not attested not anchored not stored refs pending

Algebraic values of certain analytic functions defined by a canonical product

Taboka Prince Chalebgwa

arxiv:1907.10463 v1 · 2019-07-24 · math.NT · 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{4UTRGU2OCF7MWVPMTHR2NKBVSP}

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	2026-05-17T23:39:37.858698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52713534e117ecb55ec99e3a6a83593da94e84b7db40359a132380c578430db

Aliases

arxiv: 1907.10463 · arxiv_version: 1907.10463v1 · doi: 10.48550/arxiv.1907.10463 · pith_short_12: 4UTRGU2OCF7M · pith_short_16: 4UTRGU2OCF7MWVPM · pith_short_8: 4UTRGU2O

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/4UTRGU2OCF7MWVPMTHR2NKBVSP \
  | 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: e52713534e117ecb55ec99e3a6a83593da94e84b7db40359a132380c578430db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592e02525390124f71963a5565d733d73e09db669cfc758c7dd806b3d912d2e7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-24T14:14:36Z",
    "title_canon_sha256": "fccd95c81c96b2ea3fe25396158ee2d62db3e7ff891132b24116db91d050103d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10463",
    "kind": "arxiv",
    "version": 1
  }
}