Pith Number

pith:J23HOJQF

pith:2013:J23HOJQF7STWUWIKQRJIIJIE6G

not attested not anchored not stored refs pending

Nielsen zeta functions on infra-nilmanifolds up to dimension three

Gert-Jan Dugardein

arxiv:1312.5466 v1 · 2013-12-19 · 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{J23HOJQF7STWUWIKQRJIIJIE6G}

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	2026-05-18T03:04:14.714332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb6772605fca76a590a8452842504f1bc3eb4af748ed34b5003085acbf3d403

Aliases

arxiv: 1312.5466 · arxiv_version: 1312.5466v1 · doi: 10.48550/arxiv.1312.5466 · pith_short_12: J23HOJQF7STW · pith_short_16: J23HOJQF7STWUWIK · pith_short_8: J23HOJQF

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/J23HOJQF7STWUWIKQRJIIJIE6G \
  | 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: 4eb6772605fca76a590a8452842504f1bc3eb4af748ed34b5003085acbf3d403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c18e05bd1d7c6bfbe1ead4823c98aa9eb6d9beb0ad2d20d05f255106f90a6f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-19T10:18:26Z",
    "title_canon_sha256": "31080792493c83c19c809bbc00dda573a785a55a0afc60c85577f54122edc6b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5466",
    "kind": "arxiv",
    "version": 1
  }
}