Pith Number

pith:7RTGXPNW

pith:2012:7RTGXPNWTLHL5FXJFVUYF7NFLY

not attested not anchored not stored refs pending

Optimal higher-dimensional Dehn functions for some CAT(0) lattices

Enrico Leuzinger

arxiv:1205.4923 v1 · 2012-05-22 · math.DG · 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{7RTGXPNWTLHL5FXJFVUYF7NFLY}

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	2026-05-18T03:55:11.312907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc666bbdb69acebe96e92d6982fda55e3d56ad5da45ed1af3e175d3a9b1a28a9

Aliases

arxiv: 1205.4923 · arxiv_version: 1205.4923v1 · doi: 10.48550/arxiv.1205.4923 · pith_short_12: 7RTGXPNWTLHL · pith_short_16: 7RTGXPNWTLHL5FXJ · pith_short_8: 7RTGXPNW

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/7RTGXPNWTLHL5FXJFVUYF7NFLY \
  | 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: fc666bbdb69acebe96e92d6982fda55e3d56ad5da45ed1af3e175d3a9b1a28a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c91b75563cc488a677a4e95670c36f35e875dee14dd214e97adcda5fbeadd53",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-22T14:23:44Z",
    "title_canon_sha256": "9c09370008150d4f5af39eac09f04a6b6760832e3ca802d5385be1e996059510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4923",
    "kind": "arxiv",
    "version": 1
  }
}