Pith Number

pith:WG3HGCJL

pith:2022:WG3HGCJLSRNFLMSBTVQQMWQAHA

not attested not anchored not stored refs pending

Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes

Daniel Vargas, Evgeniya Lagoda, Facundo M\'emoli, Florian Frick, Henry Adams, Johnathan Bush, Ling Zhou, Mario G\'omez, Matt Superdock, Michael Harrison, Michael Moy, Nate Clause, Nikola Sadovek, Qingsong Wang, R. Amzi Jeffs, Sunhyuk Lim

arxiv:2301.00246 v2 · 2022-12-31 · math.MG · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WG3HGCJLSRNFLMSBTVQQMWQAHA}

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.

Cited by

1 paper in Pith

Homotopy connectivity of \v{C}ech complexes of spheres

Receipt and verification

First computed	2026-07-05T11:32:12.366691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b673092b945a55b2419d61065a003803061c9646a80f6a53b3786c16277a6f

Aliases

arxiv: 2301.00246 · arxiv_version: 2301.00246v2 · doi: 10.48550/arxiv.2301.00246 · pith_short_12: WG3HGCJLSRNF · pith_short_16: WG3HGCJLSRNFLMSB · pith_short_8: WG3HGCJL

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/WG3HGCJLSRNFLMSBTVQQMWQAHA \
  | 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: b1b673092b945a55b2419d61065a003803061c9646a80f6a53b3786c16277a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d36aa22c7c57800594c86e6274e9d28c56f33d6b56583f4d70f8ef45d626bb0",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-12-31T16:32:10Z",
    "title_canon_sha256": "4c3e08353e02032ed60cd262442cce3314b5c5dc40bd84b9920f5ec38384abba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00246",
    "kind": "arxiv",
    "version": 2
  }
}