Pith Number

pith:T5BLP3UF

pith:2017:T5BLP3UFCKLV24F7ZILCPRAJRX

not attested not anchored not stored refs pending

Densities of Hyperbolic Cusp Invariants

Brandon Shapiro, Colin Adams, Joshua Wakefield, Michael Moore, Rose Kaplan-Kelly, Shruthi Sridhar

arxiv:1701.03479 v1 · 2017-01-12 · 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{T5BLP3UFCKLV24F7ZILCPRAJRX}

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	2026-05-18T00:52:54.678023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f42b7ee8512975d70bfca1627c4098dea31e35bc356dd3b95303ed31f82b10d

Aliases

arxiv: 1701.03479 · arxiv_version: 1701.03479v1 · doi: 10.48550/arxiv.1701.03479 · pith_short_12: T5BLP3UFCKLV · pith_short_16: T5BLP3UFCKLV24F7 · pith_short_8: T5BLP3UF

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/T5BLP3UFCKLV24F7ZILCPRAJRX \
  | 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: 9f42b7ee8512975d70bfca1627c4098dea31e35bc356dd3b95303ed31f82b10d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d95fe730b3b24ec0ee59201c00d9657a0c94bc9d2d1f88594c49f9b4ca75fbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-01-12T19:40:09Z",
    "title_canon_sha256": "fbea2a9dfd3806f38cc720fa6a3bc9e85f5b3698577d9562e934713af84362ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03479",
    "kind": "arxiv",
    "version": 1
  }
}