Pith Number

pith:FWH2RNO6

pith:2025:FWH2RNO6G32XZBBWTCOTPCGUDD

not attested not anchored not stored refs pending

Vietoris--Rips Shadow for Euclidean Graph Reconstruction

Atish Mitra, Rafal Komendarczyk, Sushovan Majhi

arxiv:2506.01603 v3 · 2025-06-02 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWH2RNO6G32XZBBWTCOTPCGUDD}

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	2026-05-27T01:05:34.950505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d8fa8b5de36f57c8436989d3788d418d17fa2eb6ced50d533e0547a922969ea

Aliases

arxiv: 2506.01603 · arxiv_version: 2506.01603v3 · doi: 10.48550/arxiv.2506.01603 · pith_short_12: FWH2RNO6G32X · pith_short_16: FWH2RNO6G32XZBBW · pith_short_8: FWH2RNO6

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/FWH2RNO6G32XZBBWTCOTPCGUDD \
  | 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: 2d8fa8b5de36f57c8436989d3788d418d17fa2eb6ced50d533e0547a922969ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06869ae67e813ba8f6deabb9dac64f290d393314f1aff0be358b81b92e90618c",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-06-02T12:41:34Z",
    "title_canon_sha256": "74c5f9aca158e797213e631d992d0112303dd1fee6c27cbc01e94143d93a74aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01603",
    "kind": "arxiv",
    "version": 3
  }
}