Pith Number

pith:3VH3QB5Y

pith:2013:3VH3QB5YTXX46MSZZVV2NBUD6Z

not attested not anchored not stored refs pending

Lagrangian F-stability of closed Lagrangian self-shrinkers

Jiayu Li, Yongbing Zhang

arxiv:1312.4771 v1 · 2013-12-17 · 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{3VH3QB5YTXX46MSZZVV2NBUD6Z}

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	2026-05-18T03:04:23.162731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4fb807b89defcf3259cd6ba68683f64629431da4c409562094cf4a2c7b372a

Aliases

arxiv: 1312.4771 · arxiv_version: 1312.4771v1 · doi: 10.48550/arxiv.1312.4771 · pith_short_12: 3VH3QB5YTXX4 · pith_short_16: 3VH3QB5YTXX46MSZ · pith_short_8: 3VH3QB5Y

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/3VH3QB5YTXX46MSZZVV2NBUD6Z \
  | 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: dd4fb807b89defcf3259cd6ba68683f64629431da4c409562094cf4a2c7b372a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea04f86114224ef455f8ab91e94e58b286cec3e167d3e096e7d83e2755ce9395",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-17T13:22:34Z",
    "title_canon_sha256": "2aeb8586b4724d68ca29303cf111591b2b4f34c48ccf67774ccd892921261ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4771",
    "kind": "arxiv",
    "version": 1
  }
}