Pith Number

pith:XPDNIMO2

pith:2021:XPDNIMO2H3KIXCFNXLU47DPOFB

not attested not anchored not stored refs pending

Bottleneck Profiles and Discrete Prokhorov Metrics for Persistence Diagrams

Niklas Hellmer, Pawe{\l} D{\l}otko

arxiv:2106.02538 v3 · 2021-06-04 · cs.CG · 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{XPDNIMO2H3KIXCFNXLU47DPOFB}

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	2026-07-05T09:11:58.763343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc6d431da3ed48b88adbae9cf8dee28452062243fd24d70d79fc641f524a4a3

Aliases

arxiv: 2106.02538 · arxiv_version: 2106.02538v3 · doi: 10.48550/arxiv.2106.02538 · pith_short_12: XPDNIMO2H3KI · pith_short_16: XPDNIMO2H3KIXCFN · pith_short_8: XPDNIMO2

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/XPDNIMO2H3KIXCFNXLU47DPOFB \
  | 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: bbc6d431da3ed48b88adbae9cf8dee28452062243fd24d70d79fc641f524a4a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7720cd0cf24bbf46600c7e889de77fba2d8115c961b46c5b57c775833e2527",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2021-06-04T15:07:39Z",
    "title_canon_sha256": "47b6735a2ac3f99f83d2a38c79c1ccb1148474eb813ff0b55e857f7fae61c399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02538",
    "kind": "arxiv",
    "version": 3
  }
}