Pith Number

pith:22O37ZRC

pith:2013:22O37ZRCQZCQ7DYCISZU3OXSEN

not attested not anchored not stored refs pending

Induced Matchings and the Algebraic Stability of Persistence Barcodes

Michael Lesnick, Ulrich Bauer

arxiv:1311.3681 v4 · 2013-11-14 · math.AT · cs.CG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22O37ZRCQZCQ7DYCISZU3OXSEN}

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	2026-05-18T01:01:34.830686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d69dbfe62286450f8f0244b34dbaf2236f2ddaaae14ec2f49f00f06cc41e9d45

Aliases

arxiv: 1311.3681 · arxiv_version: 1311.3681v4 · doi: 10.48550/arxiv.1311.3681 · pith_short_12: 22O37ZRCQZCQ · pith_short_16: 22O37ZRCQZCQ7DYC · pith_short_8: 22O37ZRC

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/22O37ZRCQZCQ7DYCISZU3OXSEN \
  | 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: d69dbfe62286450f8f0244b34dbaf2236f2ddaaae14ec2f49f00f06cc41e9d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "127e033395193d657f0c5955b7430f23c141d1072ce1d7211bbea640bb283e22",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-14T21:54:17Z",
    "title_canon_sha256": "33ba3281bfa9b5e1d9543af385d5f982aba3e15c53b81ed7ffe558256d28cf96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3681",
    "kind": "arxiv",
    "version": 4
  }
}