Pith Number

pith:JMRVID4S

pith:2017:JMRVID4S7EUGL74CPJQRJXFX7W

not attested not anchored not stored refs pending

A triple boundary lemma for surface homeomorphisms

Andres Koropecki, Fabio Armando Tal, Patrice Le Calvez

arxiv:1711.00920 v2 · 2017-11-02 · 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{JMRVID4S7EUGL74CPJQRJXFX7W}

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	2026-05-18T00:14:22.192425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b23540f92f92865ff827a6114dcb7fd945b28d7df81625fee89023d77c09f0a

Aliases

arxiv: 1711.00920 · arxiv_version: 1711.00920v2 · doi: 10.48550/arxiv.1711.00920 · pith_short_12: JMRVID4S7EUG · pith_short_16: JMRVID4S7EUGL74C · pith_short_8: JMRVID4S

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/JMRVID4S7EUGL74CPJQRJXFX7W \
  | 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: 4b23540f92f92865ff827a6114dcb7fd945b28d7df81625fee89023d77c09f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bab796c462642e7d52c37d1cce0926aeec8109d9ae24f288cef692ec9b1dd51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-02T20:35:16Z",
    "title_canon_sha256": "2d78d8ec159acf7649d8b57a4791605797416d32d087c6238f80d50c3f96625b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00920",
    "kind": "arxiv",
    "version": 2
  }
}