Pith Number

pith:OUWI4ZNG

pith:2024:OUWI4ZNGL6M7MWS257DBJEXBDM

not attested not anchored not stored refs pending

Marked length spectrum rigidity in groups with contracting elements

Renxing Wan, Wenyuan Yang, Xiaoyu Xu

arxiv:2402.10165 v3 · 2024-02-15 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUWI4ZNGL6M7MWS257DBJEXBDM}

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

Relative bounded cohomology on groups with contracting elements

Receipt and verification

First computed	2026-07-05T10:57:52.452777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

752c8e65a65f99f65a5aefc61492e11b226cf000ab1b0812b92c82f0ddb28551

Aliases

arxiv: 2402.10165 · arxiv_version: 2402.10165v3 · doi: 10.48550/arxiv.2402.10165 · pith_short_12: OUWI4ZNGL6M7 · pith_short_16: OUWI4ZNGL6M7MWS2 · pith_short_8: OUWI4ZNG

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/OUWI4ZNGL6M7MWS257DBJEXBDM \
  | 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: 752c8e65a65f99f65a5aefc61492e11b226cf000ab1b0812b92c82f0ddb28551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db5352e6fe6f25536709553ef72bbd2e637b3a88b9a04da49a93abec8b75102",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-02-15T18:10:29Z",
    "title_canon_sha256": "d86845ccc24254eae9a96952fed5563f0793c3ca3c0ac783ebd7f615d51fb237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.10165",
    "kind": "arxiv",
    "version": 3
  }
}