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Pith Number

pith:HY5BKDSF

pith:2013:HY5BKDSFXJOZX5KP7NTIRG2LVT
not attested not anchored not stored refs pending

On Legendrian foliations in contact manifold I: Singularities and neighborhood theorems

Yang Huang

arxiv:1306.6367 v2 · 2013-06-26 · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HY5BKDSFXJOZX5KP7NTIRG2LVT}

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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 2026-05-18T03:05:08.513945Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e3a150e45ba5d9bf54ffb66889b4bacf48b1be51041a04370e22f18797c1c82

Aliases

arxiv: 1306.6367 · arxiv_version: 1306.6367v2 · doi: 10.48550/arxiv.1306.6367 · pith_short_12: HY5BKDSFXJOZ · pith_short_16: HY5BKDSFXJOZX5KP · pith_short_8: HY5BKDSF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HY5BKDSFXJOZX5KP7NTIRG2LVT \
  | 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: 3e3a150e45ba5d9bf54ffb66889b4bacf48b1be51041a04370e22f18797c1c82
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d86f57847f7cec48bed113fabb048e41ca2df47b557528137538cb81dcfb37a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-06-26T21:48:56Z",
    "title_canon_sha256": "8bdbc21c1f4d07571f51df9dfa71c03b350b180008df4a0bbdad8df08d896012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6367",
    "kind": "arxiv",
    "version": 2
  }
}