Pith Number

pith:2BJDKZO3

pith:2014:2BJDKZO3DE4JFR3LWRIY3TRSLJ

not attested not anchored not stored refs pending

Limits of geometries

Anna Wienhard, Daryl Cooper, Jeffrey Danciger

arxiv:1408.4109 v2 · 2014-08-18 · 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{2BJDKZO3DE4JFR3LWRIY3TRSLJ}

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	2026-05-18T02:31:29.867126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0523565db193892c76bb4518dce325a5b0706d526b5cf5697143bf6d9c4ed4f

Aliases

arxiv: 1408.4109 · arxiv_version: 1408.4109v2 · doi: 10.48550/arxiv.1408.4109 · pith_short_12: 2BJDKZO3DE4J · pith_short_16: 2BJDKZO3DE4JFR3L · pith_short_8: 2BJDKZO3

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/2BJDKZO3DE4JFR3LWRIY3TRSLJ \
  | 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: d0523565db193892c76bb4518dce325a5b0706d526b5cf5697143bf6d9c4ed4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c0d2a1c8c1134dd67580ba94176781a8c530fb61fe6101662d559c2ff12ccf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-18T19:55:45Z",
    "title_canon_sha256": "c533e12a85fb071a4e55c8c01311a78d4b4699cede83bbb758d38bc0eda4102c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4109",
    "kind": "arxiv",
    "version": 2
  }
}