Pith Number

pith:2LNTZ26W

pith:2017:2LNTZ26WDRHPRRFU3PLV4ESXTX

not attested not anchored not stored refs pending

Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds

Daryl Cooper, David Futer

arxiv:1705.02890 v3 · 2017-05-08 · 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{2LNTZ26WDRHPRRFU3PLV4ESXTX}

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	2026-05-17T23:51:34.643272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2db3cebd61c4ef8c4b4dbd75e12579dd3a0d72bf092b46a352c00881452d3c8

Aliases

arxiv: 1705.02890 · arxiv_version: 1705.02890v3 · doi: 10.48550/arxiv.1705.02890 · pith_short_12: 2LNTZ26WDRHP · pith_short_16: 2LNTZ26WDRHPRRFU · pith_short_8: 2LNTZ26W

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/2LNTZ26WDRHPRRFU3PLV4ESXTX \
  | 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: d2db3cebd61c4ef8c4b4dbd75e12579dd3a0d72bf092b46a352c00881452d3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39930c1bc7d58587344aa9d0b747ad0e2447c320ceacc13aac6a4903084095e1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-08T14:16:05Z",
    "title_canon_sha256": "67b66610e920e8843be84f9c38688122bacd67772f5c89f1d205b959c0fd5ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02890",
    "kind": "arxiv",
    "version": 3
  }
}