Pith Number

pith:KBU4HLVU

pith:2014:KBU4HLVUMU3OY6HPKGFGNDMBNX

not attested not anchored not stored refs pending

Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces

Daryl Cooper, Mark D. Baker

arxiv:1408.4691 v2 · 2014-08-20 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBU4HLVUMU3OY6HPKGFGNDMBNX}

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	2026-05-18T02:03:37.425538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5069c3aeb46536ec78ef518a668d816ddad75db4d189abfcc0dfd815be043181

Aliases

arxiv: 1408.4691 · arxiv_version: 1408.4691v2 · doi: 10.48550/arxiv.1408.4691 · pith_short_12: KBU4HLVUMU3O · pith_short_16: KBU4HLVUMU3OY6HP · pith_short_8: KBU4HLVU

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/KBU4HLVUMU3OY6HPKGFGNDMBNX \
  | 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: 5069c3aeb46536ec78ef518a668d816ddad75db4d189abfcc0dfd815be043181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac6f0e2c0cdbbb7f6f9006ecf710a8c338c2eef8e02d0c892acb489029fe48d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-20T15:13:51Z",
    "title_canon_sha256": "96bfb4d1d83739d97baa494fcc6f399eaca5b70bd9d4f38b1607bb5be658a65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4691",
    "kind": "arxiv",
    "version": 2
  }
}