Pith Number

pith:BPWGH5EK

pith:2002:BPWGH5EK46CIGSDKJKXQIPOO4J

not attested not anchored not stored refs pending

Problems in foliations and laminations of 3-manifolds

Danny Calegari

arxiv:math/0209081 v1 · 2002-09-08 · 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{BPWGH5EK46CIGSDKJKXQIPOO4J}

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.

Cited by

2 papers in Pith

Simultaneous universal circles and continuous extension

Left-orderability in Dehn fillings of pseudo-Anosov mapping tori

Receipt and verification

First computed	2026-07-04T14:48:20.068529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bec63f48ae78483486a4aaf043dcee27ea00607e9be92c63f6f5bd40fb63fd5

Aliases

arxiv: math/0209081 · arxiv_version: math/0209081v1 · doi: 10.48550/arxiv.math/0209081 · pith_short_12: BPWGH5EK46CI · pith_short_16: BPWGH5EK46CIGSDK · pith_short_8: BPWGH5EK

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/BPWGH5EK46CIGSDKJKXQIPOO4J \
  | 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: 0bec63f48ae78483486a4aaf043dcee27ea00607e9be92c63f6f5bd40fb63fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef218fd42f77f9478ae790bc28ea18a20ec0ae2cded58fd2e243bde3bb865bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-09-08T04:30:36Z",
    "title_canon_sha256": "5638b84e85e03291be9262a4057c8514b014ea71909f4ee22b81cafa9c63b336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209081",
    "kind": "arxiv",
    "version": 1
  }
}