Pith Number

pith:Q3KMA23H

pith:1999:Q3KMA23HEBYYB4ECDMD27NNKAJ

not attested not anchored not stored refs pending

The Geometry of R-covered foliations

Danny Calegari

arxiv:math/9903173 v4 · 1999-03-29 · 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{Q3KMA23HEBYYB4ECDMD27NNKAJ}

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	2026-05-18T02:37:59.273252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d4c06b67207180f0821b07afb5aa026a6af395eaec20b44032c9d6cbe43d70

Aliases

arxiv: math/9903173 · arxiv_version: math/9903173v4 · doi: 10.48550/arxiv.math/9903173 · pith_short_12: Q3KMA23HEBYY · pith_short_16: Q3KMA23HEBYYB4EC · pith_short_8: Q3KMA23H

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/Q3KMA23HEBYYB4ECDMD27NNKAJ \
  | 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: 86d4c06b67207180f0821b07afb5aa026a6af395eaec20b44032c9d6cbe43d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b43eb1920ff3309356b0d321e649c2db3b51ce53bc0700039c42adf7b28aa3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-03-29T22:07:59Z",
    "title_canon_sha256": "23f94b1ece50631c29a4a566899989f7450a47c5aa17bbf0f4eee5398751cef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903173",
    "kind": "arxiv",
    "version": 4
  }
}