Pith Number

pith:PHGLNYJQ

pith:2017:PHGLNYJQAF2UFJCKXJ3OWWKQTV

not attested not anchored not stored refs pending

Random \v{C}ech Complexes on Riemannian Manifolds

Goncalo Oliveira, Omer Bobrowski

arxiv:1704.07204 v1 · 2017-04-24 · math.PR · math.AT · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHGLNYJQAF2UFJCKXJ3OWWKQTV}

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	2026-05-18T00:45:53.219089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ccb6e130017542a44aba76eb59509d7802d06301b006df00e816ef95329efe

Aliases

arxiv: 1704.07204 · arxiv_version: 1704.07204v1 · doi: 10.48550/arxiv.1704.07204 · pith_short_12: PHGLNYJQAF2U · pith_short_16: PHGLNYJQAF2UFJCK · pith_short_8: PHGLNYJQ

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/PHGLNYJQAF2UFJCKXJ3OWWKQTV \
  | 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: 79ccb6e130017542a44aba76eb59509d7802d06301b006df00e816ef95329efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc58d64c03c3e86c1a09975a98192f5ddd76ca360f2a6776ab3066467e1a039",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-24T13:19:40Z",
    "title_canon_sha256": "a1d766ef14ace7a7c7b23ad68a8be6edd3bb502c5cf8fdc2651fbc3ad11a5306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07204",
    "kind": "arxiv",
    "version": 1
  }
}