Pith Number

pith:NZRHBM22

pith:2014:NZRHBM22VAZ7G3JFZEYGBSRJSI

not attested not anchored not stored refs pending

Gromov width and uniruling for orientable Lagrangian surfaces

Fran\c{c}ois Charette

arxiv:1401.1953 v2 · 2014-01-09 · 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{NZRHBM22VAZ7G3JFZEYGBSRJSI}

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	2026-05-18T01:22:24.520468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6270b35aa833f36d25c93060ca2992325d8a12db62c69dca743c153456639b

Aliases

arxiv: 1401.1953 · arxiv_version: 1401.1953v2 · doi: 10.48550/arxiv.1401.1953 · pith_short_12: NZRHBM22VAZ7 · pith_short_16: NZRHBM22VAZ7G3JF · pith_short_8: NZRHBM22

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/NZRHBM22VAZ7G3JFZEYGBSRJSI \
  | 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: 6e6270b35aa833f36d25c93060ca2992325d8a12db62c69dca743c153456639b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f80f6d77ef15b400d2cff80464f1e4655c7bd2daad9007dda62c9e2b9a81fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-01-09T10:56:30Z",
    "title_canon_sha256": "1509136c2273d8ee647170b7cf64b7e9bca0ca6ed6c9e0422f01af82fe6d4a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1953",
    "kind": "arxiv",
    "version": 2
  }
}