Pith Number

pith:EWQ3M5HA

pith:2013:EWQ3M5HAZAX7HF2YXGZAMRLE3Q

not attested not anchored not stored refs pending

Exact Lagrangian caps of Legendrian knots

Francesco Lin

arxiv:1309.5101 v1 · 2013-09-19 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWQ3M5HAZAX7HF2YXGZAMRLE3Q}

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	2026-05-18T03:12:47.744997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25a1b674e0c82ff39758b9b2064564dc05397e525dd12abe4e785352e40a486f

Aliases

arxiv: 1309.5101 · arxiv_version: 1309.5101v1 · doi: 10.48550/arxiv.1309.5101 · pith_short_12: EWQ3M5HAZAX7 · pith_short_16: EWQ3M5HAZAX7HF2Y · pith_short_8: EWQ3M5HA

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/EWQ3M5HAZAX7HF2YXGZAMRLE3Q \
  | 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: 25a1b674e0c82ff39758b9b2064564dc05397e525dd12abe4e785352e40a486f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e50982abc0b6bc3c5f3f1fb6389a1790227b13ab5b0314272bb71572a6242edb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-09-19T21:01:05Z",
    "title_canon_sha256": "b12b9e345092953042783c0a2b11cd151ff653158dad7e35a0ad3b8ee95de918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5101",
    "kind": "arxiv",
    "version": 1
  }
}