Pith Number

pith:PE7F6UKH

pith:2013:PE7F6UKHIFP7XYGTXCWY7LT4PG

not attested not anchored not stored refs pending

Crackle: The Persistent Homology of Noise

Omer Bobrowski, Robert J. Adler, Shmuel Weinberger

arxiv:1301.1466 v1 · 2013-01-08 · 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{PE7F6UKHIFP7XYGTXCWY7LT4PG}

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	2026-05-18T03:36:57.413770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793e5f5147415ffbe0d3b8ad8fae7c79a8bd002591f30b44507d7e74ef29658a

Aliases

arxiv: 1301.1466 · arxiv_version: 1301.1466v1 · doi: 10.48550/arxiv.1301.1466 · pith_short_12: PE7F6UKHIFP7 · pith_short_16: PE7F6UKHIFP7XYGT · pith_short_8: PE7F6UKH

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/PE7F6UKHIFP7XYGTXCWY7LT4PG \
  | 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: 793e5f5147415ffbe0d3b8ad8fae7c79a8bd002591f30b44507d7e74ef29658a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2fcaa5ab72925353543a34d1de3278fae47483fd1b65d3878cb162a7d8b3122",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-08T10:04:16Z",
    "title_canon_sha256": "e81c92dcb7e5db651f3a5b29e9448830d051bbcb4283e067fe3e5c0825ddfeba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1466",
    "kind": "arxiv",
    "version": 1
  }
}