Pith Number

pith:P64TERKG

pith:2024:P64TERKGTLNBBUVXN4MAZTBVAS

not attested not anchored not stored refs pending

Vanishing of Witten zeta function at negative integers

Kam Cheong Au

arxiv:2412.11879 v4 · 2024-12-16 · math.NT · 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{P64TERKGTLNBBUVXN4MAZTBVAS}

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	2026-05-28T01:04:25.895253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb93245469ada10d2b76f180ccc3504990846b78061f238ecd1dc7128ea177f

Aliases

arxiv: 2412.11879 · arxiv_version: 2412.11879v4 · doi: 10.48550/arxiv.2412.11879 · pith_short_12: P64TERKGTLNB · pith_short_16: P64TERKGTLNBBUVX · pith_short_8: P64TERKG

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/P64TERKGTLNBBUVXN4MAZTBVAS \
  | 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: 7fb93245469ada10d2b76f180ccc3504990846b78061f238ecd1dc7128ea177f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7b9cd24b09d88e86295c20f263f9837c2e55fd7eb24c381a6829240b5a5874",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-16T15:28:21Z",
    "title_canon_sha256": "9992c9e2ee4415e95560e3507e11e8f92ac7b2bfc6f96ba21654fdc2afdf5551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11879",
    "kind": "arxiv",
    "version": 4
  }
}