Pith Number

pith:RFKB4GGG

pith:2014:RFKB4GGGM7ES3GEGG7OJAPFWD6

not attested not anchored not stored refs pending

Punctured holomorphic curves and Lagrangian embeddings

Kai Cieliebak, Klaus Mohnke

arxiv:1411.1870 v2 · 2014-11-07 · 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{RFKB4GGGM7ES3GEGG7OJAPFWD6}

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	2026-05-18T02:32:38.233602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89541e18c667c92d988637dc903cb61fb6623e1d504eca49065a1baeda47bafa

Aliases

arxiv: 1411.1870 · arxiv_version: 1411.1870v2 · doi: 10.48550/arxiv.1411.1870 · pith_short_12: RFKB4GGGM7ES · pith_short_16: RFKB4GGGM7ES3GEG · pith_short_8: RFKB4GGG

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/RFKB4GGGM7ES3GEGG7OJAPFWD6 \
  | 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: 89541e18c667c92d988637dc903cb61fb6623e1d504eca49065a1baeda47bafa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d01c663da4baf2c2fad354a94ea17f73a272274560569f2fe9dc0f456b5953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-11-07T09:51:22Z",
    "title_canon_sha256": "05db0d5d95bf9abfd59686f5be0ec783d80d19a613e03c1e4af2f5fc8c704af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1870",
    "kind": "arxiv",
    "version": 2
  }
}