Pith Number

pith:GWK6OPDQ

pith:2008:GWK6OPDQYASC2UTSZRHPB5WI4R

not attested not anchored not stored refs pending

Edge-Graph Diameter Bounds for Convex Polytopes with Few Facets

David Bremner, Lars Schewe

arxiv:0809.0915 v3 · 2008-09-05 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWK6OPDQYASC2UTSZRHPB5WI4R}

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	2026-05-18T04:14:55.265967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3595e73c70c0242d5272cc4ef0f6c8e473771754031d6e89d07b377a581b2cf1

Aliases

arxiv: 0809.0915 · arxiv_version: 0809.0915v3 · doi: 10.48550/arxiv.0809.0915 · pith_short_12: GWK6OPDQYASC · pith_short_16: GWK6OPDQYASC2UTS · pith_short_8: GWK6OPDQ

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/GWK6OPDQYASC2UTSZRHPB5WI4R \
  | 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: 3595e73c70c0242d5272cc4ef0f6c8e473771754031d6e89d07b377a581b2cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728a7b62d75a4e3c5c8fe3d34d60d58e058a1e810b2d79ef7bc0bc6a03f95dda",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-09-05T01:03:40Z",
    "title_canon_sha256": "219e5a92909cd2b6a9c9b7065fc32adcdc87913221b126f99e924d8ffba837a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0915",
    "kind": "arxiv",
    "version": 3
  }
}