Pith Number

pith:JUROFLZ2

pith:2016:JUROFLZ2WN35WR5OMUVXWFTTHH

not attested not anchored not stored refs pending

A Compactness Theorem for Embedded Measured Riemann Surface Laminations

Dheeraj Kulkarni, Divakaran Divakaran

arxiv:1610.01770 v2 · 2016-10-06 · math.GT · math.CV · 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{JUROFLZ2WN35WR5OMUVXWFTTHH}

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	2026-05-18T00:26:51.961951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d22e2af3ab377db47ae652b7b167339c06c1416f6190a04e9d3a2ffa844870a

Aliases

arxiv: 1610.01770 · arxiv_version: 1610.01770v2 · doi: 10.48550/arxiv.1610.01770 · pith_short_12: JUROFLZ2WN35 · pith_short_16: JUROFLZ2WN35WR5O · pith_short_8: JUROFLZ2

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/JUROFLZ2WN35WR5OMUVXWFTTHH \
  | 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: 4d22e2af3ab377db47ae652b7b167339c06c1416f6190a04e9d3a2ffa844870a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945615277d94f0f2ffe75f7c9e059a06266fb6ee6b7dbe93485408e07d340e1e",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-06T08:24:54Z",
    "title_canon_sha256": "fcd4275b6ab0c587341033a128457f352aede6cc56229082f2c4ec61e770f0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01770",
    "kind": "arxiv",
    "version": 2
  }
}