Pith Number

pith:EUA6SU7V

pith:2025:EUA6SU7VLQYW7ICPCY2DBNIJM4

not attested not anchored not stored refs pending

On boundaries of bicombable spaces

Daniel Danielski

arxiv:2503.06673 v2 · 2025-03-09 · 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{EUA6SU7VLQYW7ICPCY2DBNIJM4}

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	2026-07-05T11:01:32.673542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2501e953f55c316fa04f163430b50967386208b9c2d851894efeeaf4ba7cba96

Aliases

arxiv: 2503.06673 · arxiv_version: 2503.06673v2 · doi: 10.48550/arxiv.2503.06673 · pith_short_12: EUA6SU7VLQYW · pith_short_16: EUA6SU7VLQYW7ICP · pith_short_8: EUA6SU7V

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/EUA6SU7VLQYW7ICPCY2DBNIJM4 \
  | 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: 2501e953f55c316fa04f163430b50967386208b9c2d851894efeeaf4ba7cba96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b809b0b3c3d817eff71633e3d945eb25dcb80f20917a379a98f6bc5ea8cfbf9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-03-09T15:47:18Z",
    "title_canon_sha256": "9cda9a79419bd1f2106dfc1eed4f66097f1e7a716e3909d4c05353c838962b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06673",
    "kind": "arxiv",
    "version": 2
  }
}