Pith Number

pith:653QMT3E

pith:2013:653QMT3EQAFA7XFHMMQMALHSYO

not attested not anchored not stored refs pending

Fractional Perfect b-Matching Polytopes. I: General Theory

Roger E. Behrend

arxiv:1301.7356 v1 · 2013-01-30 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{653QMT3EQAFA7XFHMMQMALHSYO}

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	2026-05-18T03:35:00.466420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f777064f64800a0fdca76320c02cf2c38f4843bfab470e34a98535479191b66c

Aliases

arxiv: 1301.7356 · arxiv_version: 1301.7356v1 · doi: 10.48550/arxiv.1301.7356 · pith_short_12: 653QMT3EQAFA · pith_short_16: 653QMT3EQAFA7XFH · pith_short_8: 653QMT3E

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/653QMT3EQAFA7XFHMMQMALHSYO \
  | 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: f777064f64800a0fdca76320c02cf2c38f4843bfab470e34a98535479191b66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b424611ad08508cb1288afabde8a241c49a4aea1bff48d10210a7b58b89a1c1b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-30T20:58:17Z",
    "title_canon_sha256": "29e30967355a26c66db3ac9e2238ba1510b636cc8a532a9bb00558e8a651fdd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7356",
    "kind": "arxiv",
    "version": 1
  }
}