Pith Number

pith:LCCXLNXN

pith:2023:LCCXLNXNBES7OVCB32FL5ZNHXZ

not attested not anchored not stored refs pending

Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups

Abdul Zalloum, Carolyn Abbott, Harry Petyt, Mark Hagen

arxiv:2305.09742 v2 · 2023-05-16 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCCXLNXNBES7OVCB32FL5ZNHXZ}

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

Bounded cohomology, quotient extensions, and hierarchical hyperbolicity

Receipt and verification

First computed	2026-07-05T11:08:54.558190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588575b6ed0925f75441de8abee5a7be7ececeef4b09dafa225590e7627fcf4a

Aliases

arxiv: 2305.09742 · arxiv_version: 2305.09742v2 · doi: 10.48550/arxiv.2305.09742 · pith_short_12: LCCXLNXNBES7 · pith_short_16: LCCXLNXNBES7OVCB · pith_short_8: LCCXLNXN

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/LCCXLNXNBES7OVCB32FL5ZNHXZ \
  | 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: 588575b6ed0925f75441de8abee5a7be7ececeef4b09dafa225590e7627fcf4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e565f40203ff86d6899b31d5dc4ce9140902a57d8c647eba3d5dc963c699c87d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-05-16T18:27:29Z",
    "title_canon_sha256": "412dfaaa741bdf6d04727e11cd01af6a67d9ae418dc13328ed812cad0b1dc33d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.09742",
    "kind": "arxiv",
    "version": 2
  }
}