Pith Number

pith:YVYWHOSC

pith:2016:YVYWHOSCLEAJCK7WFZ3FAF5AHX

not attested not anchored not stored refs pending

A cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra

Eric Bucher, Jacob P. Matherne

arxiv:1612.04343 v3 · 2016-12-13 · 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{YVYWHOSCLEAJCK7WFZ3FAF5AHX}

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	2026-05-18T00:40:51.412208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57163ba425900912bf62e765017a03df28e9d8bfc7348f0a1a48aafca1facb1

Aliases

arxiv: 1612.04343 · arxiv_version: 1612.04343v3 · doi: 10.48550/arxiv.1612.04343 · pith_short_12: YVYWHOSCLEAJ · pith_short_16: YVYWHOSCLEAJCK7W · pith_short_8: YVYWHOSC

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/YVYWHOSCLEAJCK7WFZ3FAF5AHX \
  | 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: c57163ba425900912bf62e765017a03df28e9d8bfc7348f0a1a48aafca1facb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9221498f69b34b1b5994f51aba809824aaceb4061fec335d6137f6522c8ab8f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-13T20:25:57Z",
    "title_canon_sha256": "1aad698415a934f5a184cb9786a49d6b103e8cefe53ef397f3e7bb681a31fa90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04343",
    "kind": "arxiv",
    "version": 3
  }
}