Pith Number

pith:J4O2KX53

pith:2011:J4O2KX534SAXOROE5QWRLXZEG7

not attested not anchored not stored refs pending

Cohomology classes represented by measured foliations, and Mahler's question for interval exchanges

Barak Weiss, Yair N. Minsky

arxiv:1102.4719 v1 · 2011-02-23 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4O2KX534SAXOROE5QWRLXZEG7}

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	2026-05-18T04:28:07.519891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1da55fbbe4817745c4ec2d15df2437d6feb89655298f8f3d866a8ea9d7cff1

Aliases

arxiv: 1102.4719 · arxiv_version: 1102.4719v1 · doi: 10.48550/arxiv.1102.4719 · pith_short_12: J4O2KX534SAX · pith_short_16: J4O2KX534SAXOROE · pith_short_8: J4O2KX53

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/J4O2KX534SAXOROE5QWRLXZEG7 \
  | 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: 4f1da55fbbe4817745c4ec2d15df2437d6feb89655298f8f3d866a8ea9d7cff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f7b744e7e345087b99af99454fe3c681f6191470a2fd94ff27b49336e99ace",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-23T12:04:26Z",
    "title_canon_sha256": "a9ae32950dbd9bc032870a20b3591917abd05a4e66f34a7c9ce2e9ecee9969a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4719",
    "kind": "arxiv",
    "version": 1
  }
}