Pith Number

pith:VH57BUSB

pith:2011:VH57BUSBGEAQDJSETMG2S3O7NF

not attested not anchored not stored refs pending

Distance Functions, Critical Points, and the Topology of Random \v{C}ech Complexes

Omer Bobrowski, Robert J. Adler

arxiv:1107.4775 v2 · 2011-07-24 · math.PR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VH57BUSBGEAQDJSETMG2S3O7NF}

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	2026-05-18T02:45:38.664279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fbf0d241310101a6449b0da96ddf69714fef41375d62eded4434c840d14ab0

Aliases

arxiv: 1107.4775 · arxiv_version: 1107.4775v2 · doi: 10.48550/arxiv.1107.4775 · pith_short_12: VH57BUSBGEAQ · pith_short_16: VH57BUSBGEAQDJSE · pith_short_8: VH57BUSB

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/VH57BUSBGEAQDJSETMG2S3O7NF \
  | 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: a9fbf0d241310101a6449b0da96ddf69714fef41375d62eded4434c840d14ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b79612f7ef326acd7c6a8494d8da2589b07160699bf807b4af41dc4b53fe86c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-24T17:39:13Z",
    "title_canon_sha256": "2fcd82583ba08a4f56073debde21dd3b55357642391f00e2f76a33e8b0fa924f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4775",
    "kind": "arxiv",
    "version": 2
  }
}