Pith Number

pith:3PAY47FY

pith:2011:3PAY47FYVMASCBTF455SDGZHCT

not attested not anchored not stored refs pending

The Linear Ordering Polytope via Representations

Lukas Katth\"an

arxiv:1109.5040 v2 · 2011-09-23 · 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{3PAY47FYVMASCBTF455SDGZHCT}

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	2026-05-18T04:10:23.218161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc18e7cb8ab01210665e77b219b2714ef75a101b249e1219fef4b0093ce6672

Aliases

arxiv: 1109.5040 · arxiv_version: 1109.5040v2 · doi: 10.48550/arxiv.1109.5040 · pith_short_12: 3PAY47FYVMAS · pith_short_16: 3PAY47FYVMASCBTF · pith_short_8: 3PAY47FY

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/3PAY47FYVMASCBTF455SDGZHCT \
  | 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: dbc18e7cb8ab01210665e77b219b2714ef75a101b249e1219fef4b0093ce6672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5212a3bac5157c4a0478279a0f19724b2014887745d5b38520beba581fe08322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-23T11:47:32Z",
    "title_canon_sha256": "952b4f8ee2fbcd4cd8cd0a252494721e013fd1cb03caa2a0fb2aa8301f750bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5040",
    "kind": "arxiv",
    "version": 2
  }
}