Pith Number

pith:IEXQY7WD

pith:2008:IEXQY7WDJZFSA3NXFXQE5OZZ43

not attested not anchored not stored refs pending

Vertex decomposable graphs and obstructions to shellability

Russ Woodroofe

arxiv:0810.0311 v3 · 2008-10-01 · 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{IEXQY7WDJZFSA3NXFXQE5OZZ43}

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	2026-05-18T04:05:46.243465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412f0c7ec34e4b206db72de04ebb39e6f50570dbde48dd7851ac3b7d5337dcd2

Aliases

arxiv: 0810.0311 · arxiv_version: 0810.0311v3 · doi: 10.48550/arxiv.0810.0311 · pith_short_12: IEXQY7WDJZFS · pith_short_16: IEXQY7WDJZFSA3NX · pith_short_8: IEXQY7WD

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/IEXQY7WDJZFSA3NXFXQE5OZZ43 \
  | 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: 412f0c7ec34e4b206db72de04ebb39e6f50570dbde48dd7851ac3b7d5337dcd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f579264f6830807042c47ee90a4e58e46c12e389d79746575f9c7ccf84a8e557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-01T23:25:50Z",
    "title_canon_sha256": "ffd72d9c060abba11222a74ee9df3adb2f3badddcf1e69ef3002f19340d446b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0311",
    "kind": "arxiv",
    "version": 3
  }
}