Pith Number

pith:VLAZPUD7

pith:2008:VLAZPUD7PIWC6T5ACVA5GT77RL

not attested not anchored not stored refs pending

Optimizing the double description method for normal surface enumeration

Benjamin A. Burton

arxiv:0808.4050 v3 · 2008-08-29 · 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{VLAZPUD7PIWC6T5ACVA5GT77RL}

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	2026-05-18T04:07:40.991763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac197d07f7a2c2f4fa01541d34fff8ae25fbf33f9d1a45086215a3d4fa72eca

Aliases

arxiv: 0808.4050 · arxiv_version: 0808.4050v3 · doi: 10.48550/arxiv.0808.4050 · pith_short_12: VLAZPUD7PIWC · pith_short_16: VLAZPUD7PIWC6T5A · pith_short_8: VLAZPUD7

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/VLAZPUD7PIWC6T5ACVA5GT77RL \
  | 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: aac197d07f7a2c2f4fa01541d34fff8ae25fbf33f9d1a45086215a3d4fa72eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bf56cef7cc07b305b3f0f4c58f845b2a9e5c588e2c1ef900262415a41b1271",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-08-29T09:01:31Z",
    "title_canon_sha256": "9a724ce3fefd0239c959d768f6cff9777bc183d51d10e688a03094489d8dbaac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.4050",
    "kind": "arxiv",
    "version": 3
  }
}