Pith Number

pith:G5ZRHTVN

pith:2023:G5ZRHTVNEPJ5JRXKS44NHT4P5R

not attested not anchored not stored refs pending

Contact action functional, calculus of variation and canonical generating function of Legendrian submanifolds

Seungook Yu, Yong-Geun Oh

arxiv:2311.18510 v3 · 2023-11-30 · 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{G5ZRHTVNEPJ5JRXKS44NHT4P5R}

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	2026-05-20T00:02:45.532641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

377313cead23d3d4c6ea9738d3cf8fec5126e50b6b7d691b91e986e89ecb85fa

Aliases

arxiv: 2311.18510 · arxiv_version: 2311.18510v3 · doi: 10.48550/arxiv.2311.18510 · pith_short_12: G5ZRHTVNEPJ5 · pith_short_16: G5ZRHTVNEPJ5JRXK · pith_short_8: G5ZRHTVN

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/G5ZRHTVNEPJ5JRXKS44NHT4P5R \
  | 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: 377313cead23d3d4c6ea9738d3cf8fec5126e50b6b7d691b91e986e89ecb85fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "463b81da470bee51f52b9f26f13b5be23e81890fa92c907a377359babdb36fea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2023-11-30T12:39:51Z",
    "title_canon_sha256": "e735ae31e39afe1f007559ea69089dda2e8c41bf91d0dd70cbdbd3854ccfe8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.18510",
    "kind": "arxiv",
    "version": 3
  }
}