Pith Number

pith:RZSBZI6X

pith:2013:RZSBZI6X6HQJDH4T6YQG246CIK

not attested not anchored not stored refs pending

Nielsen zeta functions for maps on infra-nilmanifolds are rational

Gert-Jan Dugardein, Karel Dekimpe

arxiv:1302.5512 v2 · 2013-02-22 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZSBZI6X6HQJDH4T6YQG246CIK}

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	2026-05-18T03:32:44.191136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e641ca3d7f1e0919f93f6206d73c242bc82fe557930777273025d64381c64ce

Aliases

arxiv: 1302.5512 · arxiv_version: 1302.5512v2 · doi: 10.48550/arxiv.1302.5512 · pith_short_12: RZSBZI6X6HQJ · pith_short_16: RZSBZI6X6HQJDH4T · pith_short_8: RZSBZI6X

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/RZSBZI6X6HQJDH4T6YQG246CIK \
  | 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: 8e641ca3d7f1e0919f93f6206d73c242bc82fe557930777273025d64381c64ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c721cebf14df7ca302881a6e0f946f1a542957552ed87a963f807dd787ff410d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-22T08:11:11Z",
    "title_canon_sha256": "0abae899c6dfa432371886816b6272a86255dceac0b0ca69a3d590c120d3343f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5512",
    "kind": "arxiv",
    "version": 2
  }
}