Pith Number

pith:Q3IXPLEJ

pith:2018:Q3IXPLEJRSCUA2Q7IRPOK26Y7D

not attested not anchored not stored refs pending

Persistent Betti numbers of random \v{C}ech complexes

Florian Pausinger, Ulrich Bauer

arxiv:1801.08376 v1 · 2018-01-25 · math.AT · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3IXPLEJRSCUA2Q7IRPOK26Y7D}

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	2026-05-18T00:25:06.455120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d177ac898c85406a1f445ee56bd8f8ed47ca1085568fbe52dca2fd9af1b81c

Aliases

arxiv: 1801.08376 · arxiv_version: 1801.08376v1 · doi: 10.48550/arxiv.1801.08376 · pith_short_12: Q3IXPLEJRSCU · pith_short_16: Q3IXPLEJRSCUA2Q7 · pith_short_8: Q3IXPLEJ

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/Q3IXPLEJRSCUA2Q7IRPOK26Y7D \
  | 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: 86d177ac898c85406a1f445ee56bd8f8ed47ca1085568fbe52dca2fd9af1b81c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b425acbcc4ff1537765138de4ad4e39abce041a8d1877c19a0f2445680281f17",
    "cross_cats_sorted": [
      "cs.CG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-25T12:31:38Z",
    "title_canon_sha256": "ea626d48aaa154d55a419d3d339897db84c78a662b09772bf7e05ae74928dcb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08376",
    "kind": "arxiv",
    "version": 1
  }
}