Pith Number

pith:XOLMGYBF

pith:2019:XOLMGYBFO6TVQYSXLTSY7U5MZC

not attested not anchored not stored refs pending

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

Anton Dochtermann, Dan P. Guralnik, Jared Culbertson, Peter F. Stiller

arxiv:1908.07155 v2 · 2019-08-20 · math.CO · math.AC · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOLMGYBFO6TVQYSXLTSY7U5MZC}

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	2026-07-05T02:17:55.349263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb96c3602577a75862575ce58fd3acc8a8a7c70c77e3d4421f9aeb8361a52507

Aliases

arxiv: 1908.07155 · arxiv_version: 1908.07155v2 · doi: 10.48550/arxiv.1908.07155 · pith_short_12: XOLMGYBFO6TV · pith_short_16: XOLMGYBFO6TVQYSX · pith_short_8: XOLMGYBF

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/XOLMGYBFO6TVQYSXLTSY7U5MZC \
  | 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: bb96c3602577a75862575ce58fd3acc8a8a7c70c77e3d4421f9aeb8361a52507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc6e334a69701054f6c6702fc763d03306a228a041d6fbbc8f0dd4f29297180",
    "cross_cats_sorted": [
      "math.AC",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-20T04:14:28Z",
    "title_canon_sha256": "afc6e789d3a0a55244a4e45d2e391be2672486298ddd013205036a8abeb14e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07155",
    "kind": "arxiv",
    "version": 2
  }
}