Pith Number

pith:VSBKZSL5

pith:2013:VSBKZSL5JHWZPMZCQFLCSAX3JE

not attested not anchored not stored refs pending

Analytic Continuation of the Doubly-periodic Barnes Zeta Function

Guglielmo Fucci, Klaus Kirsten

arxiv:1304.4509 v1 · 2013-04-16 · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSBKZSL5JHWZPMZCQFLCSAX3JE}

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	2026-05-18T03:17:00.101022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac82acc97d49ed97b32281562902fb493c4f556521b7baaa2e2ada32ce19919a

Aliases

arxiv: 1304.4509 · arxiv_version: 1304.4509v1 · doi: 10.48550/arxiv.1304.4509 · pith_short_12: VSBKZSL5JHWZ · pith_short_16: VSBKZSL5JHWZPMZC · pith_short_8: VSBKZSL5

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/VSBKZSL5JHWZPMZCQFLCSAX3JE \
  | 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: ac82acc97d49ed97b32281562902fb493c4f556521b7baaa2e2ada32ce19919a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31ad07f0c99a82755eae36e299783ee5d3349c20c7da4bd690ce95d3b568526",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-16T16:20:19Z",
    "title_canon_sha256": "9337fc053ffdb451c25af0133346d5eb170ac55c7f42f5bee6458f29cb79970e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4509",
    "kind": "arxiv",
    "version": 1
  }
}