Pith Number

pith:7E2TZAPA

pith:2019:7E2TZAPA6VBC2OEHQL23EMKZ7M

not attested not anchored not stored refs pending

Simple homotopy types of independence complexes of graphs involving grid graphs

Kengo Okura

arxiv:1908.09356 v1 · 2019-08-25 · math.AT · 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{7E2TZAPA6VBC2OEHQL23EMKZ7M}

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	2026-07-04T23:59:39.430682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9353c81e0f5422d388782f5b23159fb28aa05183260a1f534ccc323dbff3077

Aliases

arxiv: 1908.09356 · arxiv_version: 1908.09356v1 · doi: 10.48550/arxiv.1908.09356 · pith_short_12: 7E2TZAPA6VBC · pith_short_16: 7E2TZAPA6VBC2OEH · pith_short_8: 7E2TZAPA

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/7E2TZAPA6VBC2OEHQL23EMKZ7M \
  | 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: f9353c81e0f5422d388782f5b23159fb28aa05183260a1f534ccc323dbff3077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c428eda321f4144c67e60b4614b3e6a6562382da829f571557a0e9f2c00d042",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-25T16:17:04Z",
    "title_canon_sha256": "d524714848d5dafe15fb39e74b3a0bfc9270a0b61b32094745d5a149e44cdd7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09356",
    "kind": "arxiv",
    "version": 1
  }
}