Pith Number

pith:QOWHEVMJ

pith:2019:QOWHEVMJLRWYFY2LCAOK4GG5ER

not attested not anchored not stored refs pending

Probabilistic Convergence and Stability of Random Mapper Graphs

Adam Brown, Bei Wang, Elizabeth Munch, Omer Bobrowski

arxiv:1909.03488 v3 · 2019-09-08 · math.AT · cs.CG · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOWHEVMJLRWYFY2LCAOK4GG5ER}

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	2026-06-19T16:12:11.917042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ac7255895c6d82e34b101cae18dd24611dfb02fad29dadc46028998064cefe

Aliases

arxiv: 1909.03488 · arxiv_version: 1909.03488v3 · doi: 10.48550/arxiv.1909.03488 · pith_short_12: QOWHEVMJLRWY · pith_short_16: QOWHEVMJLRWYFY2L · pith_short_8: QOWHEVMJ

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/QOWHEVMJLRWYFY2LCAOK4GG5ER \
  | 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: 83ac7255895c6d82e34b101cae18dd24611dfb02fad29dadc46028998064cefe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2835e430f62321f241a2c06ca66c3955334d3bec03a3c3713dfe072879b1a002",
    "cross_cats_sorted": [
      "cs.CG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-09-08T16:02:11Z",
    "title_canon_sha256": "0fe729e60f3feaf7691f4ef2a19d1729219182a6f88104b3dd983c661f85530c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.03488",
    "kind": "arxiv",
    "version": 3
  }
}