Pith Number

pith:54DHCAP7

pith:2021:54DHCAP7YSQ6UGKLTX3VO6JDWD

not attested not anchored not stored refs pending

Geometry of Liouville sectors and the maximum principle

Yong-Geun Oh

arxiv:2111.06112 v4 · 2021-11-11 · 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{54DHCAP7YSQ6UGKLTX3VO6JDWD}

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.

Cited by

1 paper in Pith

Rational contact instantons and Legendrian Fukaya category

Receipt and verification

First computed	2026-07-05T06:45:56.585480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef067101ffc4a1ea194b9df7577923b0cad78aae52079f0f0cd303a94edddbb7

Aliases

arxiv: 2111.06112 · arxiv_version: 2111.06112v4 · doi: 10.48550/arxiv.2111.06112 · pith_short_12: 54DHCAP7YSQ6 · pith_short_16: 54DHCAP7YSQ6UGKL · pith_short_8: 54DHCAP7

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/54DHCAP7YSQ6UGKLTX3VO6JDWD \
  | 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: ef067101ffc4a1ea194b9df7577923b0cad78aae52079f0f0cd303a94edddbb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4872c2a3284f8f40c07d75dffd7ab578a6b3793d744673452c1f9417f92585e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2021-11-11T09:15:28Z",
    "title_canon_sha256": "bdd34e119e12d36ba690d28c762e0aacfbc8b324625dd3e980314aa8631bd9ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06112",
    "kind": "arxiv",
    "version": 4
  }
}