Pith Number

pith:KNUIL5HJ

pith:2015:KNUIL5HJWJKIGFVOPCEZMETVET

not attested not anchored not stored refs pending

Maximally Persistent Cycles in Random Geometric Complexes

Matthew Kahle, Omer Bobrowski, Primoz Skraba

arxiv:1509.04347 v2 · 2015-09-14 · math.PR · 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{KNUIL5HJWJKIGFVOPCEZMETVET}

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	2026-05-18T01:14:52.941426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536885f4e9b2548316ae788996127524e9cae8ac5bd6ea0a54122b9e4681245a

Aliases

arxiv: 1509.04347 · arxiv_version: 1509.04347v2 · doi: 10.48550/arxiv.1509.04347 · pith_short_12: KNUIL5HJWJKI · pith_short_16: KNUIL5HJWJKIGFVO · pith_short_8: KNUIL5HJ

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/KNUIL5HJWJKIGFVOPCEZMETVET \
  | 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: 536885f4e9b2548316ae788996127524e9cae8ac5bd6ea0a54122b9e4681245a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ae4f9e973a55dd7ce61aa8fce13c6b93598cc50b2d5c4dcd12f3cf1e1f65d6",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-14T22:43:02Z",
    "title_canon_sha256": "0375cfb0a02b217b69911074c4036d6d8214e713d12c2e4fb1710bda1bf07e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04347",
    "kind": "arxiv",
    "version": 2
  }
}