Pith Number

pith:XJVETQ6G

pith:2018:XJVETQ6GK4JL726T6JNE2BD5L6

not attested not anchored not stored refs pending

Matroid-minor Hopf algebra: a cancellation-free antipode formula and other applications of sign-reversing involutions

Chris Eppolito, Eric Bucher, Jacob P. Matherne, Jaiung Jun

arxiv:1811.01687 v1 · 2018-11-05 · 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{XJVETQ6GK4JL726T6JNE2BD5L6}

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	2026-05-18T00:01:33.561972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba6a49c3c65712bfebd3f25a4d047d5f9174ac97eb2e10d255670ec59873c2b9

Aliases

arxiv: 1811.01687 · arxiv_version: 1811.01687v1 · doi: 10.48550/arxiv.1811.01687 · pith_short_12: XJVETQ6GK4JL · pith_short_16: XJVETQ6GK4JL726T · pith_short_8: XJVETQ6G

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/XJVETQ6GK4JL726T6JNE2BD5L6 \
  | 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: ba6a49c3c65712bfebd3f25a4d047d5f9174ac97eb2e10d255670ec59873c2b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6aec838362df28e10225ab96f01bdb01407ded91d361757fe2c2a6a8b2a3cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-05T13:54:31Z",
    "title_canon_sha256": "c92a44c2346ed1bdc0dfa8d1a610442e83e63e209f40495c5d993569cb083e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01687",
    "kind": "arxiv",
    "version": 1
  }
}