Pith Number

pith:3LMASIUP

pith:2012:3LMASIUPCGCOMM3UZJDM6WOSVJ

not attested not anchored not stored refs pending

Depth reduction of a class of Witten zeta functions

David M. Bradley, Tianxin Cai, Xia Zhou

arxiv:1205.0609 v2 · 2012-05-03 · 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{3LMASIUPCGCOMM3UZJDM6WOSVJ}

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	2026-05-18T03:56:23.879308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad809228f1184e63374ca46cf59d2aa5934f9c64ebf0952f6d7c93ff90701cc

Aliases

arxiv: 1205.0609 · arxiv_version: 1205.0609v2 · doi: 10.48550/arxiv.1205.0609 · pith_short_12: 3LMASIUPCGCO · pith_short_16: 3LMASIUPCGCOMM3U · pith_short_8: 3LMASIUP

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/3LMASIUPCGCOMM3UZJDM6WOSVJ \
  | 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: dad809228f1184e63374ca46cf59d2aa5934f9c64ebf0952f6d7c93ff90701cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b93dda6f76381e374a658cc8207440b520ea2e6a08c462e93afcbe6e60e9b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-03T03:51:29Z",
    "title_canon_sha256": "c8631b986cab96d67bb2aa40fbb6b97af98721c060db6707172d8e576b4e23af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0609",
    "kind": "arxiv",
    "version": 2
  }
}