Pith Number

pith:Q6ULSIDH

pith:2006:Q6ULSIDH5VS4F46HASJHDJ7GL2

not attested not anchored not stored refs pending

Enumeration of non-orientable 3-manifolds using face pairing graphs and union-find

Benjamin A. Burton

arxiv:math/0604584 v1 · 2006-04-27 · math.GT · cs.CG · 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{Q6ULSIDH5VS4F46HASJHDJ7GL2}

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	2026-05-18T04:07:29.533721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a8b92067ed65c2f3c7049271a7e65ea11eab51f9ae9e0cfefd431fcf51aadc

Aliases

arxiv: math/0604584 · arxiv_version: math/0604584v1 · doi: 10.48550/arxiv.math/0604584 · pith_short_12: Q6ULSIDH5VS4 · pith_short_16: Q6ULSIDH5VS4F46H · pith_short_8: Q6ULSIDH

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/Q6ULSIDH5VS4F46HASJHDJ7GL2 \
  | 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: 87a8b92067ed65c2f3c7049271a7e65ea11eab51f9ae9e0cfefd431fcf51aadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3665ac6b9c52773d29696b8a04627f789626b8a9b560fb80b75e8935dd93c7",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-04-27T06:19:44Z",
    "title_canon_sha256": "7969c9009ed0dedbb31c44ba157bef1f1d73d75ec61963d51297f65d49a4790d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604584",
    "kind": "arxiv",
    "version": 1
  }
}