Pith Number

pith:ALQSIAFZ

pith:2025:ALQSIAFZIIAUMORP24KNB5Y5MY

not attested not anchored not stored refs pending

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

Alessandro Sisto, Matthew Gentry Durham, Yair Minsky

arxiv:2504.17048 v1 · 2025-04-23 · math.GT · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALQSIAFZIIAUMORP24KNB5Y5MY}

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

Characterizing hierarchically hyperbolic free by cyclic groups

Receipt and verification

First computed	2026-07-05T10:53:21.188755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e12400b94201463a2fd714d0f71d66314ed7e7428fde2b14c16d5e10c8aa3c

Aliases

arxiv: 2504.17048 · arxiv_version: 2504.17048v1 · doi: 10.48550/arxiv.2504.17048 · pith_short_12: ALQSIAFZIIAU · pith_short_16: ALQSIAFZIIAUMORP · pith_short_8: ALQSIAFZ

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/ALQSIAFZIIAUMORP24KNB5Y5MY \
  | 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: 02e12400b94201463a2fd714d0f71d66314ed7e7428fde2b14c16d5e10c8aa3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e9df6dfb3a94b9a4f11c7f7a1f5c11f36017d1989eee12e1defd2446df34bd",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-04-23T18:55:43Z",
    "title_canon_sha256": "237e2463c2d2dbd2c4bed6bb8647dde2836639a9d0dcc5ea3205cc7416c3de7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17048",
    "kind": "arxiv",
    "version": 1
  }
}