Pith Number

pith:YM6UB3OJ

pith:2021:YM6UB3OJVNZ6YV23KL26VOBJIZ

not attested not anchored not stored refs pending

Contact Dynamics versus Legendrian and Lagrangian Submanifolds

Juan Carlos Marrero, Manuel de Le\'on, Manuel Lainz Valc\'azar, O\u{g}ul Esen

arxiv:2108.06519 v1 · 2021-08-14 · math.SG · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YM6UB3OJVNZ6YV23KL26VOBJIZ}

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	2026-07-05T03:05:55.330767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33d40edc9ab73ec575b52f5eab829466edb9d56cf33dd63c84a64b517774a77

Aliases

arxiv: 2108.06519 · arxiv_version: 2108.06519v1 · doi: 10.48550/arxiv.2108.06519 · pith_short_12: YM6UB3OJVNZ6 · pith_short_16: YM6UB3OJVNZ6YV23 · pith_short_8: YM6UB3OJ

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/YM6UB3OJVNZ6YV23KL26VOBJIZ \
  | 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: c33d40edc9ab73ec575b52f5eab829466edb9d56cf33dd63c84a64b517774a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3b828572f442d36ab938f48440cb33ebdd4284a0cbf8c9ec21a50718739e38",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2021-08-14T11:44:52Z",
    "title_canon_sha256": "46677d0d7fc58d9dee07290051f84ab479acf46fc291e1890362d4468f3df52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06519",
    "kind": "arxiv",
    "version": 1
  }
}