Pith Number

pith:YU6NDTUQ

pith:2013:YU6NDTUQJADZMPYKKPSRFHCJJ6

not attested not anchored not stored refs pending

Geodesic systems of tunnels in hyperbolic 3-manifolds

Jessica S. Purcell, Stephan D. Burton

arxiv:1302.5469 v2 · 2013-02-22 · 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{YU6NDTUQJADZMPYKKPSRFHCJJ6}

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	2026-05-18T02:41:42.538423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53cd1ce904807963f0a53e5129c494fa58771893c179466a0a5aa3e95fd6ade

Aliases

arxiv: 1302.5469 · arxiv_version: 1302.5469v2 · doi: 10.48550/arxiv.1302.5469 · pith_short_12: YU6NDTUQJADZ · pith_short_16: YU6NDTUQJADZMPYK · pith_short_8: YU6NDTUQ

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/YU6NDTUQJADZMPYKKPSRFHCJJ6 \
  | 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: c53cd1ce904807963f0a53e5129c494fa58771893c179466a0a5aa3e95fd6ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9347b4505f1e43d22aee465aa11371a2f30723f6ee18ad28257a3807bce192",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-22T03:23:15Z",
    "title_canon_sha256": "1b0955f35268a150c72716aff0c0cc80ca2311ea030bbe1604905fb2bc1a74de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5469",
    "kind": "arxiv",
    "version": 2
  }
}