Pith Number

pith:S3FQUEUB

pith:2013:S3FQUEUBBL5ZR4NQARAP6PHB6O

not attested not anchored not stored refs pending

On the extension complexity of combinatorial polytopes

David Avis, Hans Raj Tiwary

arxiv:1302.2340 v2 · 2013-02-10 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3FQUEUBBL5ZR4NQARAP6PHB6O}

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	2026-05-18T03:27:00.997430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96cb0a12810afb98f1b00440ff3ce1f381a6bcab268fcc6c59c57c41dcb98cb4

Aliases

arxiv: 1302.2340 · arxiv_version: 1302.2340v2 · doi: 10.48550/arxiv.1302.2340 · pith_short_12: S3FQUEUBBL5Z · pith_short_16: S3FQUEUBBL5ZR4NQ · pith_short_8: S3FQUEUB

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/S3FQUEUBBL5ZR4NQARAP6PHB6O \
  | 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: 96cb0a12810afb98f1b00440ff3ce1f381a6bcab268fcc6c59c57c41dcb98cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9941db367b193124878a51bb190ea2f0209ce619288a0d9b82a093af4fe438a9",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-10T15:42:06Z",
    "title_canon_sha256": "b74514812553b16514155467fcefc0f5ea5996708d4cb6582ec21b06ebe32d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2340",
    "kind": "arxiv",
    "version": 2
  }
}