Pith Number

pith:ESC2GTHO

pith:2013:ESC2GTHO43KB7XHI3PNQJLQXXH

not attested not anchored not stored refs pending

On minimal Lagrangian surfaces in the product of Riemannian two manifolds

Nikos Georgiou

arxiv:1305.1561 v2 · 2013-05-07 · 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{ESC2GTHO43KB7XHI3PNQJLQXXH}

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	2026-05-18T00:29:16.048983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2485a34ceee6d41fdce8dbdb04ae17b9fe2730ec01dd7e5f76970fc8099806b3

Aliases

arxiv: 1305.1561 · arxiv_version: 1305.1561v2 · doi: 10.48550/arxiv.1305.1561 · pith_short_12: ESC2GTHO43KB · pith_short_16: ESC2GTHO43KB7XHI · pith_short_8: ESC2GTHO

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/ESC2GTHO43KB7XHI3PNQJLQXXH \
  | 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: 2485a34ceee6d41fdce8dbdb04ae17b9fe2730ec01dd7e5f76970fc8099806b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae662440562030d3adf5a9b517492059fae38ddf35bb388802ba1df93692416c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-07T15:34:22Z",
    "title_canon_sha256": "c6109080cfc9edd39adab4d3958570762e9a1b007e66e07bd711d209ebd065d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1561",
    "kind": "arxiv",
    "version": 2
  }
}