Pith Number

pith:PMV3WXRK

pith:2014:PMV3WXRK22ISO2KN67FBNMBERR

not attested not anchored not stored refs pending

Many 2-level polytopes from matroids

Francesco Grande, Juanjo Ru\'e

arxiv:1409.2233 v2 · 2014-09-08 · 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{PMV3WXRK22ISO2KN67FBNMBERR}

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	2026-05-18T01:30:15.504131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2bbb5e2ad69127694df7ca16b0248c4b6974836b440d20a12ae1bccfff87f9

Aliases

arxiv: 1409.2233 · arxiv_version: 1409.2233v2 · doi: 10.48550/arxiv.1409.2233 · pith_short_12: PMV3WXRK22IS · pith_short_16: PMV3WXRK22ISO2KN · pith_short_8: PMV3WXRK

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/PMV3WXRK22ISO2KN67FBNMBERR \
  | 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: 7b2bbb5e2ad69127694df7ca16b0248c4b6974836b440d20a12ae1bccfff87f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412ab4ce1ac64caf381840f48e0c46299857eeb073ee720d6afdfb0bd770f402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-08T08:12:18Z",
    "title_canon_sha256": "e173f1ee34a18541bb6ac9f759ec3ea18c1f55a39e36f8b31018a4c70ebb2e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2233",
    "kind": "arxiv",
    "version": 2
  }
}