Pith Number

pith:TKZNXSOC

pith:2013:TKZNXSOCT2SI2MZWUTJUHHOZFQ

not attested not anchored not stored refs pending

Curvature inequalities for Lagrangian submanifolds: the final solution

Bang-Yen Chen, Franki Dillen, Joeri Van der Veken, Luc Vrancken

arxiv:1307.1497 v1 · 2013-07-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKZNXSOCT2SI2MZWUTJUHHOZFQ}

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	2026-05-18T03:19:12.719476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab2dbc9c29ea48d3336a4d3439dd92c18a4f74127aae1452fb810d0f46b5463

Aliases

arxiv: 1307.1497 · arxiv_version: 1307.1497v1 · doi: 10.48550/arxiv.1307.1497 · pith_short_12: TKZNXSOCT2SI · pith_short_16: TKZNXSOCT2SI2MZW · pith_short_8: TKZNXSOC

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/TKZNXSOCT2SI2MZWUTJUHHOZFQ \
  | 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: 9ab2dbc9c29ea48d3336a4d3439dd92c18a4f74127aae1452fb810d0f46b5463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21dfc4fdf7e805f2bad291ed00a830b6bfd6238d6843430549a10b87218b3b3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-04T22:47:53Z",
    "title_canon_sha256": "1f82eb37c14617e2ef239401133cbbe534c688507067a558d66f18f280f761f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1497",
    "kind": "arxiv",
    "version": 1
  }
}