Pith Number

pith:UXO6XDMV

pith:2018:UXO6XDMVX66XYTENFJ6QYE2XWN

not attested not anchored not stored refs pending

Exposed circuits, linear quotients, and chordal clutters

Anton Dochtermann

arxiv:1812.08128 v3 · 2018-12-19 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXO6XDMVX66XYTENFJ6QYE2XWN}

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.

Cited by

1 paper in Pith

Extendable shellability for $d$-dimensional complexes on $d+3$ vertices

Receipt and verification

First computed	2026-07-05T02:17:55.252010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ddeb8d95bfbd7c4c8d2a7d0c1357b3794767b9e7fce620825f17c7a1c3e9b4

Aliases

arxiv: 1812.08128 · arxiv_version: 1812.08128v3 · doi: 10.48550/arxiv.1812.08128 · pith_short_12: UXO6XDMVX66X · pith_short_16: UXO6XDMVX66XYTEN · pith_short_8: UXO6XDMV

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/UXO6XDMVX66XYTENFJ6QYE2XWN \
  | 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: a5ddeb8d95bfbd7c4c8d2a7d0c1357b3794767b9e7fce620825f17c7a1c3e9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3bf5a2e14b5e64ac74f6c3dc97772dce0aa84151edfa494ce780736ecce7ec6",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-19T18:13:16Z",
    "title_canon_sha256": "5b47ebf20a5e253ba33c40fd0193cc1d43b8f3d9b679f83797e6fc1befbad550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08128",
    "kind": "arxiv",
    "version": 3
  }
}