Pith Number

pith:3Z2BJKTF

pith:2015:3Z2BJKTFT6BBZLSGTL354LRBHQ

not attested not anchored not stored refs pending

On the Lagrangian angle and the K\"ahler angle of immersed surfaces in the complex plane $\bbc^2$

Xiao Li, Xingxiao Li

arxiv:1511.02569 v1 · 2015-11-09 · 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{3Z2BJKTFT6BBZLSGTL354LRBHQ}

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	2026-05-18T01:27:29.919131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7414aa659f821cae469af7de2e213c2c9bb8820ed1516a368c843dd38f27b5

Aliases

arxiv: 1511.02569 · arxiv_version: 1511.02569v1 · doi: 10.48550/arxiv.1511.02569 · pith_short_12: 3Z2BJKTFT6BB · pith_short_16: 3Z2BJKTFT6BBZLSG · pith_short_8: 3Z2BJKTF

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/3Z2BJKTFT6BBZLSGTL354LRBHQ \
  | 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: de7414aa659f821cae469af7de2e213c2c9bb8820ed1516a368c843dd38f27b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a96c05803d18fe58e13137a4589235d659d0f9ac81b211b546500255c7d68fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-09T05:15:52Z",
    "title_canon_sha256": "e51a414f7d2a315d9726f941ea09987821704eea6b3a641c1c2b261569567b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02569",
    "kind": "arxiv",
    "version": 1
  }
}