Pith Number

pith:ZYLVXQ5E

pith:2011:ZYLVXQ5ELHW3R6FCYA66S43THP

not attested not anchored not stored refs pending

The rigidity theorems for Lagrangian self shrinkers

Qi Ding, Y. L. Xin

arxiv:1112.2453 v1 · 2011-12-12 · 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{ZYLVXQ5ELHW3R6FCYA66S43THP}

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	2026-05-18T04:06:34.353058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce175bc3a459edb8f8a2c03de973733bd878e11fd29561c7245e5475f3a5a119

Aliases

arxiv: 1112.2453 · arxiv_version: 1112.2453v1 · doi: 10.48550/arxiv.1112.2453 · pith_short_12: ZYLVXQ5ELHW3 · pith_short_16: ZYLVXQ5ELHW3R6FC · pith_short_8: ZYLVXQ5E

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/ZYLVXQ5ELHW3R6FCYA66S43THP \
  | 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: ce175bc3a459edb8f8a2c03de973733bd878e11fd29561c7245e5475f3a5a119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c83dbd70c78031631d3fe9b0e0eafa5853145d1a4cf198c7a9f20797f40b796",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-12T06:18:52Z",
    "title_canon_sha256": "29c5eee42e663b64c8c7ed64c5d9aab3a3b33af03cf27e3495242445519a4713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2453",
    "kind": "arxiv",
    "version": 1
  }
}