Pith Number

pith:CLEDT6TS

pith:2008:CLEDT6TSPDQLER4YCIV6LT36TG

not attested not anchored not stored refs pending

Shellability and the strong gcd-condition

Alexander Berglund

arxiv:0808.1813 v1 · 2008-08-13 · 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{CLEDT6TSPDQLER4YCIV6LT36TG}

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	2026-05-18T04:39:17.100972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c839fa7278e0b24798122be5cf7e99a1c483ecbc786af731cb6b4c84cbcb0e

Aliases

arxiv: 0808.1813 · arxiv_version: 0808.1813v1 · doi: 10.48550/arxiv.0808.1813 · pith_short_12: CLEDT6TSPDQL · pith_short_16: CLEDT6TSPDQLER4Y · pith_short_8: CLEDT6TS

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/CLEDT6TSPDQLER4YCIV6LT36TG \
  | 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: 12c839fa7278e0b24798122be5cf7e99a1c483ecbc786af731cb6b4c84cbcb0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ff2d59ae2690565eb4627d150921a56afe98ff5959235caf88aa7087fca0fd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-13T12:00:07Z",
    "title_canon_sha256": "69ffa1134d9c69a5f03aa9ff1cf2f5eb30f035a6c33f2cfb5f3be6f03ece5ca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1813",
    "kind": "arxiv",
    "version": 1
  }
}