Pith Number

pith:ZDXUQXKQ

pith:2014:ZDXUQXKQ4EYFGATFCBYGMBUO5A

not attested not anchored not stored refs pending

Combinatorial Seifert fibred spaces with transitive cyclic automorphism group

Benjamin Burton, Jonathan Spreer

arxiv:1404.3005 v3 · 2014-04-11 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDXUQXKQ4EYFGATFCBYGMBUO5A}

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	2026-05-18T00:02:36.943249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ef485d50e130530265107066068ee8117209b8ae6b628fc2d313b7836122da

Aliases

arxiv: 1404.3005 · arxiv_version: 1404.3005v3 · doi: 10.48550/arxiv.1404.3005 · pith_short_12: ZDXUQXKQ4EYF · pith_short_16: ZDXUQXKQ4EYFGATF · pith_short_8: ZDXUQXKQ

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/ZDXUQXKQ4EYFGATFCBYGMBUO5A \
  | 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: c8ef485d50e130530265107066068ee8117209b8ae6b628fc2d313b7836122da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8b4f7920db77cb01426cc9d9550623a3a602f76318c919f92d16568d579501",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-04-11T05:28:18Z",
    "title_canon_sha256": "6e06431052b37583caee0474b83404d7c5b7eb2c4fba3316c3c9924b1330acfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3005",
    "kind": "arxiv",
    "version": 3
  }
}