Pith Number

pith:M3GS7FQN

pith:2012:M3GS7FQNZ2Z4BAGVMNJNPJIZGS

not attested not anchored not stored refs pending

Contact stationary Legendrian surfaces in $S^5$

Yong Luo

arxiv:1211.4227 v6 · 2012-11-18 · math.DG · math.AP · 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{M3GS7FQNZ2Z4BAGVMNJNPJIZGS}

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	2026-05-18T00:21:01.055698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66cd2f960dceb3c080d56352d7a51934af80393db3a8a109d17a7c5f95cc29cc

Aliases

arxiv: 1211.4227 · arxiv_version: 1211.4227v6 · doi: 10.48550/arxiv.1211.4227 · pith_short_12: M3GS7FQNZ2Z4 · pith_short_16: M3GS7FQNZ2Z4BAGV · pith_short_8: M3GS7FQN

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/M3GS7FQNZ2Z4BAGVMNJNPJIZGS \
  | 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: 66cd2f960dceb3c080d56352d7a51934af80393db3a8a109d17a7c5f95cc29cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3793643474855832a5f141ccb76acbb3546a6c21c088cc8869c6044c0de407cd",
    "cross_cats_sorted": [
      "math.AP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-18T15:57:50Z",
    "title_canon_sha256": "cdf8c2c0966100a2ca3ddab4fc61551aef8aff81f17aec9df59f33ec2fcad9f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4227",
    "kind": "arxiv",
    "version": 6
  }
}