Pith Number

pith:LNJDCNIW

pith:2010:LNJDCNIWG6COU24WZNA6FZNSF5

not attested not anchored not stored refs pending

Volume distortion in groups

Hanna Bennett

arxiv:1002.1096 v1 · 2010-02-04 · 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{LNJDCNIWG6COU24WZNA6FZNSF5}

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.

Receipt and verification

First computed	2026-05-18T02:41:50.965783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b523135163784ea6b96cb41e2e5b22f6c5beaa8c31a15916d8ba93b4ee06560

Aliases

arxiv: 1002.1096 · arxiv_version: 1002.1096v1 · doi: 10.48550/arxiv.1002.1096 · pith_short_12: LNJDCNIWG6CO · pith_short_16: LNJDCNIWG6COU24W · pith_short_8: LNJDCNIW

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/LNJDCNIWG6COU24WZNA6FZNSF5 \
  | 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: 5b523135163784ea6b96cb41e2e5b22f6c5beaa8c31a15916d8ba93b4ee06560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f71ad86701779fc6cd793107c0532166c42f0991695f2ee4bc52f6e0fa6b0a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-04T22:52:58Z",
    "title_canon_sha256": "29ce4ce1e8135ad84a3d028756d507d131a6fb9ce981ce1fd64ea3a2143dd9bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1096",
    "kind": "arxiv",
    "version": 1
  }
}