Pith Number

pith:HT74ZHMS

pith:2013:HT74ZHMSINGJPT4SRE73KET2ZM

not attested not anchored not stored refs pending

A variational approach to the study of the existence of invariant Lagrangian graphs

Alfonso Sorrentino

arxiv:1309.1019 v1 · 2013-09-04 · math.DS · 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{HT74ZHMSINGJPT4SRE73KET2ZM}

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	2026-05-18T03:14:09.318369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cffcc9d92434c97cf92893fb5127acb021136ea040389a25fd5cd56e3293abd

Aliases

arxiv: 1309.1019 · arxiv_version: 1309.1019v1 · doi: 10.48550/arxiv.1309.1019 · pith_short_12: HT74ZHMSINGJ · pith_short_16: HT74ZHMSINGJPT4S · pith_short_8: HT74ZHMS

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/HT74ZHMSINGJPT4SRE73KET2ZM \
  | 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: 3cffcc9d92434c97cf92893fb5127acb021136ea040389a25fd5cd56e3293abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854ceaf317b2ee5a49513defb4534a2a4aead46037766463918cb3658dcf7d6f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-04T13:11:56Z",
    "title_canon_sha256": "3cb30d99153a536852b8feeb07bcb5eabaf7e9d72af9a927242f5a2b0984b448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1019",
    "kind": "arxiv",
    "version": 1
  }
}