Pith Number

pith:CVT5DHAJ

pith:2013:CVT5DHAJ75UH7GTSC22EL7B3Y7

not attested not anchored not stored refs pending

Experiments suggesting that the distribution of the hyperbolic length of closed geodesics sampling by word length is Gaussian

Bernard Maskit, Keren Li, Moira Chas

arxiv:1305.5912 v1 · 2013-05-25 · 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{CVT5DHAJ75UH7GTSC22EL7B3Y7}

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	2026-05-18T03:24:53.361143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1567d19c09ff687f9a7216b445fc3bc7fe71a1eff68493603cc07761a9d92d16

Aliases

arxiv: 1305.5912 · arxiv_version: 1305.5912v1 · doi: 10.48550/arxiv.1305.5912 · pith_short_12: CVT5DHAJ75UH · pith_short_16: CVT5DHAJ75UH7GTS · pith_short_8: CVT5DHAJ

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/CVT5DHAJ75UH7GTSC22EL7B3Y7 \
  | 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: 1567d19c09ff687f9a7216b445fc3bc7fe71a1eff68493603cc07761a9d92d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b801f88d16b3949b6aaa6fec697dff5a76460c1468d86bbe8ccd18d2204943",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-25T12:01:54Z",
    "title_canon_sha256": "24c996109cf04f9e65ee8509dd664165c0a70a5d95313b0ad46290a818468a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5912",
    "kind": "arxiv",
    "version": 1
  }
}