Pith Number

pith:LVN2LL4D

pith:2023:LVN2LL4DA4RU5CT26E3TWEI73J

not attested not anchored not stored refs pending

Marked length spectrum rigidity from rigidity on subsets

Eduardo Reyes, Stephen Cantrell

arxiv:2304.13209 v2 · 2023-04-26 · 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{LVN2LL4DA4RU5CT26E3TWEI73J}

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

Volume Entropy Rigidity for Random Groups at Low Densities

Receipt and verification

First computed	2026-07-05T08:51:10.772262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d5ba5af8307234e8a7af1373b111fda66302a2c5cea28c203d5f8687e29d1a6

Aliases

arxiv: 2304.13209 · arxiv_version: 2304.13209v2 · doi: 10.48550/arxiv.2304.13209 · pith_short_12: LVN2LL4DA4RU · pith_short_16: LVN2LL4DA4RU5CT2 · pith_short_8: LVN2LL4D

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/LVN2LL4DA4RU5CT26E3TWEI73J \
  | 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: 5d5ba5af8307234e8a7af1373b111fda66302a2c5cea28c203d5f8687e29d1a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a2201160fb0a6f89fed60b65cea253607ac06134a4e7b6c7aa46f210bbdbb0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-26T00:29:20Z",
    "title_canon_sha256": "6c1a6545328d79f8cd9c9dd74917287b3028eabd564676b728893b9b4ca88aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.13209",
    "kind": "arxiv",
    "version": 2
  }
}