Pith Number

pith:3GUDVXO5

pith:2008:3GUDVXO5XKNZPQURBAVK7WVHBD

not attested not anchored not stored refs pending

Some open 3-manifolds and 3-orbifolds without locally finite canonical decompositions

Sylvain Maillot

arxiv:0802.1438 v2 · 2008-02-11 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GUDVXO5XKNZPQURBAVK7WVHBD}

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	2026-05-18T02:41:51.790723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a83addddba9b97c291082aafdaa708fd1917c05924e0dc990bed5e3f6a392a

Aliases

arxiv: 0802.1438 · arxiv_version: 0802.1438v2 · doi: 10.48550/arxiv.0802.1438 · pith_short_12: 3GUDVXO5XKNZ · pith_short_16: 3GUDVXO5XKNZPQUR · pith_short_8: 3GUDVXO5

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/3GUDVXO5XKNZPQURBAVK7WVHBD \
  | 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: d9a83addddba9b97c291082aafdaa708fd1917c05924e0dc990bed5e3f6a392a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6909400514d46009e714fe41fda98d71f2ac1a61e170869532125c3081165f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2008-02-11T14:04:51Z",
    "title_canon_sha256": "1be8881e0d63e5e4a69b2ecfb0f2f686bc048e50d6d7d614961cd0dea9ef0f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1438",
    "kind": "arxiv",
    "version": 2
  }
}