Pith Number

pith:C2XYJVC4

pith:2017:C2XYJVC4U7HW4ONNZLZBP6NHUB

not attested not anchored not stored refs pending

Local topology in deformation spaces of hyperbolic 3-manifolds II

Cyril Lecuire, Jeffrey Brock, Kenneth Bromberg, Richard Canary, Yair Minsky

arxiv:1709.02825 v2 · 2017-09-08 · 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{C2XYJVC4U7HW4ONNZLZBP6NHUB}

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	2026-05-17T23:54:48.696603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16af84d45ca7cf6e39adcaf217f9a7a07202cd02b1a64a5c9783b92d88023033

Aliases

arxiv: 1709.02825 · arxiv_version: 1709.02825v2 · doi: 10.48550/arxiv.1709.02825 · pith_short_12: C2XYJVC4U7HW · pith_short_16: C2XYJVC4U7HW4ONN · pith_short_8: C2XYJVC4

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/C2XYJVC4U7HW4ONNZLZBP6NHUB \
  | 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: 16af84d45ca7cf6e39adcaf217f9a7a07202cd02b1a64a5c9783b92d88023033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8efa80acadc62381f83a3dac5051f41b72d7f0bc4d169115db5aab1c930fff30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-08T18:20:46Z",
    "title_canon_sha256": "db984876d4ab4440da968278ac9976435743ac8d8101f1d09f15858fac95b8b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02825",
    "kind": "arxiv",
    "version": 2
  }
}