Pith Number

pith:NDX7Y2BS

pith:2019:NDX7Y2BSMOCHUYYEVIV3XW6QNA

not attested not anchored not stored refs pending

Ball mapper: a shape summary for topological data analysis

Pawe{\l} D{\l}otko

arxiv:1901.07410 v1 · 2019-01-22 · 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{NDX7Y2BSMOCHUYYEVIV3XW6QNA}

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	2026-05-17T23:55:44.837113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68effc683263847a6304aa2bbbdbd06808bb619e07df9bf7aad233f3a74a706f

Aliases

arxiv: 1901.07410 · arxiv_version: 1901.07410v1 · doi: 10.48550/arxiv.1901.07410 · pith_short_12: NDX7Y2BSMOCH · pith_short_16: NDX7Y2BSMOCHUYYE · pith_short_8: NDX7Y2BS

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/NDX7Y2BSMOCHUYYEVIV3XW6QNA \
  | 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: 68effc683263847a6304aa2bbbdbd06808bb619e07df9bf7aad233f3a74a706f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3bbff44fedfcebd28ec00d32754d44594bed4f7e3299cbafb75da67cdc63065",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-01-22T15:26:32Z",
    "title_canon_sha256": "806e7869524fad96e5c838dc8c761a2eb56bb2249632e1461c737a5020d3642a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07410",
    "kind": "arxiv",
    "version": 1
  }
}