Pith Number

pith:OUTE2LQG

pith:2015:OUTE2LQGABBR4UEA7ICLKSNQCA

not attested not anchored not stored refs pending

Braided embeddings of contact 3-manifolds in the standard contact 5-sphere

John B. Etnyre, Ryo Furukawa

arxiv:1510.03091 v3 · 2015-10-11 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUTE2LQGABBR4UEA7ICLKSNQCA}

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	2026-05-18T00:45:08.576834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75264d2e0600431e5080fa04b549b0103995f3fd30376e3aa09fda5940782f79

Aliases

arxiv: 1510.03091 · arxiv_version: 1510.03091v3 · doi: 10.48550/arxiv.1510.03091 · pith_short_12: OUTE2LQGABBR · pith_short_16: OUTE2LQGABBR4UEA · pith_short_8: OUTE2LQG

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/OUTE2LQGABBR4UEA7ICLKSNQCA \
  | 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: 75264d2e0600431e5080fa04b549b0103995f3fd30376e3aa09fda5940782f79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbace298a13f484d0b5c0c2ebad4e6821bd68e051cfa8e0998870217e9a75f58",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-11T19:57:56Z",
    "title_canon_sha256": "c4c87ce8429f47f40ee7d747d3712bc373998bf4d32d93e4912e70467b35270e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03091",
    "kind": "arxiv",
    "version": 3
  }
}