Pith Number

pith:SPYLDKYV

pith:1998:SPYLDKYVMMN6ZSWQBY5MI2HHE6

not attested not anchored not stored refs pending

R-covered foliations of hyperbolic 3-manifolds

Danny Calegari

arxiv:math/9808064 v3 · 1998-08-14 · 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{SPYLDKYVMMN6ZSWQBY5MI2HHE6}

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	2026-05-18T02:37:59.296910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f0b1ab15631beccad00e3ac468e72794c2b2ec5ffabcb3ac3ecf976088a361

Aliases

arxiv: math/9808064 · arxiv_version: math/9808064v3 · doi: 10.48550/arxiv.math/9808064 · pith_short_12: SPYLDKYVMMN6 · pith_short_16: SPYLDKYVMMN6ZSWQ · pith_short_8: SPYLDKYV

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/SPYLDKYVMMN6ZSWQBY5MI2HHE6 \
  | 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: 93f0b1ab15631beccad00e3ac468e72794c2b2ec5ffabcb3ac3ecf976088a361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b6224a630fb634eae8f0bfc58479b81d35354fc73ef05a6f1ac69de51d95f5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-08-14T21:19:47Z",
    "title_canon_sha256": "3912d3b7f8dbd9943cd291b686816d53aa8f274bd8128808278d631fec52a0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9808064",
    "kind": "arxiv",
    "version": 3
  }
}