Pith Number

pith:N7JQJTXV

pith:2011:N7JQJTXVQ4YSGYUMEHPGVDP5YR

not attested not anchored not stored refs pending

On homology spheres with few minimal non faces

Lukas Katth\"an

arxiv:1101.4480 v2 · 2011-01-24 · 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{N7JQJTXVQ4YSGYUMEHPGVDP5YR}

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	2026-05-18T03:49:22.411035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd304cef5873123628c21de6a8dfdc45967f931ea877d0685fa8e448d7c010d

Aliases

arxiv: 1101.4480 · arxiv_version: 1101.4480v2 · doi: 10.48550/arxiv.1101.4480 · pith_short_12: N7JQJTXVQ4YS · pith_short_16: N7JQJTXVQ4YSGYUM · pith_short_8: N7JQJTXV

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/N7JQJTXVQ4YSGYUMEHPGVDP5YR \
  | 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: 6fd304cef5873123628c21de6a8dfdc45967f931ea877d0685fa8e448d7c010d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c03919afa0d264fa70f69458b16d83c48e085679ebbfb8080a2eb485398193",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-24T09:53:29Z",
    "title_canon_sha256": "20e4d63f12dc515b93d66eb9b874f61d4d3e1dff6bbc81f1a5a9693bc912d15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4480",
    "kind": "arxiv",
    "version": 2
  }
}