Pith Number

pith:WCC3QV7F

pith:2014:WCC3QV7FCYVJUOIG6FKILXSN7T

not attested not anchored not stored refs pending

A classification of Thurston geometries without compact quotients

Frank Loose, Panagiotis Konstantis

arxiv:1403.1726 v1 · 2014-03-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCC3QV7FCYVJUOIG6FKILXSN7T}

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	2026-05-18T02:56:52.699095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b085b857e5162a9a3906f15485de4dfcdf9cf97f2209f124ffecbc35e9ab372f

Aliases

arxiv: 1403.1726 · arxiv_version: 1403.1726v1 · doi: 10.48550/arxiv.1403.1726 · pith_short_12: WCC3QV7FCYVJ · pith_short_16: WCC3QV7FCYVJUOIG · pith_short_8: WCC3QV7F

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/WCC3QV7FCYVJUOIG6FKILXSN7T \
  | 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: b085b857e5162a9a3906f15485de4dfcdf9cf97f2209f124ffecbc35e9ab372f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54765583e35ee944adeb10a20b6e44fb5204c87bb789bbfdf88c47a6874320ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-07T11:45:01Z",
    "title_canon_sha256": "1b17c641a33499585b55ee258c5206ed891ed6f221680e80fed8ddc8c51d4f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1726",
    "kind": "arxiv",
    "version": 1
  }
}