Pith Number

pith:24J6BDGT

pith:2011:24J6BDGTRQTI7FY6B4FGHI3PX7

not attested not anchored not stored refs pending

Equivalence Classes of Full-Dimensional 0/1-Polytopes with Many Vertices

Peter L. Guo, William Y.C. Chen

arxiv:1101.0410 v1 · 2011-01-02 · 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{24J6BDGTRQTI7FY6B4FGHI3PX7}

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	2026-05-18T04:32:10.408603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d713e08cd38c268f971e0f0a63a36fbff636ed2aef84f9c598658fc225e761db

Aliases

arxiv: 1101.0410 · arxiv_version: 1101.0410v1 · doi: 10.48550/arxiv.1101.0410 · pith_short_12: 24J6BDGTRQTI · pith_short_16: 24J6BDGTRQTI7FY6 · pith_short_8: 24J6BDGT

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/24J6BDGTRQTI7FY6B4FGHI3PX7 \
  | 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: d713e08cd38c268f971e0f0a63a36fbff636ed2aef84f9c598658fc225e761db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328e588e6c9e57c7147d27276adb9db5a17da8be0c7f3d223ca863d6c8e10e54",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-02T15:25:39Z",
    "title_canon_sha256": "b5f8871240ff53acc6100861079f4b4b9c960ed0ceb63c46ba3c5c038381f788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0410",
    "kind": "arxiv",
    "version": 1
  }
}