Pith Number

pith:VH3J4ZW3

pith:2017:VH3J4ZW35UPPD7ENCN53DXCQBP

not attested not anchored not stored refs pending

On $p$-adic multiple Barnes-Euler zeta functions and the corresponding log gamma functions

Min-Soo Kim, Su Hu

arxiv:1703.05434 v4 · 2017-03-16 · 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{VH3J4ZW35UPPD7ENCN53DXCQBP}

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	2026-05-18T00:05:51.389857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f69e66dbed1ef1fc8d137bb1dc500bd535381b4b12180dfba13212302625fa

Aliases

arxiv: 1703.05434 · arxiv_version: 1703.05434v4 · doi: 10.48550/arxiv.1703.05434 · pith_short_12: VH3J4ZW35UPP · pith_short_16: VH3J4ZW35UPPD7EN · pith_short_8: VH3J4ZW3

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/VH3J4ZW35UPPD7ENCN53DXCQBP \
  | 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: a9f69e66dbed1ef1fc8d137bb1dc500bd535381b4b12180dfba13212302625fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10bb175b35775ac8d23b0ddccd3178cca8f74b3a1dc0aacc72c3c9ebcb91c94b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-16T00:19:48Z",
    "title_canon_sha256": "fcb6ec1b18b4a685ec9b8c0cfcda168d6119cb8621bdf58570b3d928b2e95b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05434",
    "kind": "arxiv",
    "version": 4
  }
}