Pith Number

pith:HCDXEBB7

pith:2024:HCDXEBB7FBIN6A2VKKBE4GAUUG

not attested not anchored not stored refs pending

Contractibility of the Rips complexes of Integer lattices via local domination

\v{Z}iga Virk

arxiv:2405.09134 v4 · 2024-05-15 · math.MG · math.AT · 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{HCDXEBB7FBIN6A2VKKBE4GAUUG}

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

Asymptotically CAT(0) metrics, Z-structures, and the Farrell-Jones Conjecture

Receipt and verification

First computed	2026-07-05T11:43:55.284945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388772043f2850df035552824e1814a18ae1c78aa04272bc57db336d4dd4b5b7

Aliases

arxiv: 2405.09134 · arxiv_version: 2405.09134v4 · doi: 10.48550/arxiv.2405.09134 · pith_short_12: HCDXEBB7FBIN · pith_short_16: HCDXEBB7FBIN6A2V · pith_short_8: HCDXEBB7

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/HCDXEBB7FBIN6A2VKKBE4GAUUG \
  | 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: 388772043f2850df035552824e1814a18ae1c78aa04272bc57db336d4dd4b5b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d4e87ce93e5b78a392a0e63726c85bdd4485171f62ee811f5e2ffa02c17ae56",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-05-15T06:57:42Z",
    "title_canon_sha256": "ae6acfa40a4533cab2f7164b3bb153278812103e4175c0763d5882dd863f14be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.09134",
    "kind": "arxiv",
    "version": 4
  }
}