Pith Number

pith:MKF2GCF6

pith:2022:MKF2GCF6GBIJ6BDY5Z2PQBUCYO

not attested not anchored not stored refs pending

On Vietoris--Rips complexes (with scale 3) of hypercube graphs

Samir Shukla

arxiv:2202.02756 v3 · 2022-02-06 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKF2GCF6GBIJ6BDY5Z2PQBUCYO}

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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

Vietoris-Rips complexes of torus grids

Receipt and verification

First computed	2026-07-05T06:09:42.143954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628ba308be30509f0478ee74f80682c3a97d2392929d4e3ec4821a8a82c0b0ed

Aliases

arxiv: 2202.02756 · arxiv_version: 2202.02756v3 · doi: 10.48550/arxiv.2202.02756 · pith_short_12: MKF2GCF6GBIJ · pith_short_16: MKF2GCF6GBIJ6BDY · pith_short_8: MKF2GCF6

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/MKF2GCF6GBIJ6BDY5Z2PQBUCYO \
  | 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: 628ba308be30509f0478ee74f80682c3a97d2392929d4e3ec4821a8a82c0b0ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82c8693f69fc23e2bdca6db440986db8a343b5ed7112bb688ae1a7ca6eb2072",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-06T11:02:47Z",
    "title_canon_sha256": "4e8184a440918f01e261dca13b7e12ae16358c562dfca87333042cb7b7b8e162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.02756",
    "kind": "arxiv",
    "version": 3
  }
}