Pith Number

pith:AEMEDIZK

pith:2018:AEMEDIZK56ACWY6BR5L6QUHBLA

not attested not anchored not stored refs pending

Thresholds for vanishing of `Isolated' faces in random \v{C}ech and Vietoris-Rips complexes

D. Yogeshwaran, Srikanth K. Iyer

arxiv:1802.08224 v1 · 2018-02-22 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEMEDIZK56ACWY6BR5L6QUHBLA}

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	2026-05-18T00:22:45.243168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

011841a32aef802b63c18f57e850e158170d57540bc5e54ad3bd81db8ed3440f

Aliases

arxiv: 1802.08224 · arxiv_version: 1802.08224v1 · doi: 10.48550/arxiv.1802.08224 · pith_short_12: AEMEDIZK56AC · pith_short_16: AEMEDIZK56ACWY6B · pith_short_8: AEMEDIZK

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/AEMEDIZK56ACWY6BR5L6QUHBLA \
  | 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: 011841a32aef802b63c18f57e850e158170d57540bc5e54ad3bd81db8ed3440f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e644fa85fbf80cbc718cf828484a79ee1ee00a49292d52e4757c1d11a80abb6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-22T18:23:52Z",
    "title_canon_sha256": "188d9975a7bb4b8aad205fd9c7eb2928817b6155e9d2e55a1f9e334cfe730561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08224",
    "kind": "arxiv",
    "version": 1
  }
}