Pith Number

pith:KAQCZLSL

pith:2009:KAQCZLSLCE4WAM76MMXVRZW74K

not attested not anchored not stored refs pending

Lower Bounds for Cubical Pseudomanifolds

Steven Klee

arxiv:0910.0042 v2 · 2009-09-30 · 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{KAQCZLSLCE4WAM76MMXVRZW74K}

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	2026-05-18T04:25:11.505240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50202cae4b11396033fe632f58e6dfe2b5b7171b832d797025e66a3ae5cb03ab

Aliases

arxiv: 0910.0042 · arxiv_version: 0910.0042v2 · doi: 10.48550/arxiv.0910.0042 · pith_short_12: KAQCZLSLCE4W · pith_short_16: KAQCZLSLCE4WAM76 · pith_short_8: KAQCZLSL

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/KAQCZLSLCE4WAM76MMXVRZW74K \
  | 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: 50202cae4b11396033fe632f58e6dfe2b5b7171b832d797025e66a3ae5cb03ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56fe7197a49bc2d584114430b049042357c7b464ef55a7a4792d0868d8150d95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-30T22:02:20Z",
    "title_canon_sha256": "a6da9c8f70b80fe378f97a892ce16928f5ba52805b4ba2966fdbfad618c318df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0042",
    "kind": "arxiv",
    "version": 2
  }
}