Pith Number

pith:ZYPSNDMY

pith:2012:ZYPSNDMYQTFRHO474IFSSGPGYG

not attested not anchored not stored refs pending

On an exotic Lagrangian torus in $\mathbb{C}P^2$

WeiWei Wu

arxiv:1201.2446 v2 · 2012-01-12 · 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{ZYPSNDMYQTFRHO474IFSSGPGYG}

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	2026-05-18T02:25:49.382739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1f268d9884cb13bb9fe20b2919e6c1b78e0dea4f4ddeb20da1c013fa0250fe

Aliases

arxiv: 1201.2446 · arxiv_version: 1201.2446v2 · doi: 10.48550/arxiv.1201.2446 · pith_short_12: ZYPSNDMYQTFR · pith_short_16: ZYPSNDMYQTFRHO47 · pith_short_8: ZYPSNDMY

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/ZYPSNDMYQTFRHO474IFSSGPGYG \
  | 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: ce1f268d9884cb13bb9fe20b2919e6c1b78e0dea4f4ddeb20da1c013fa0250fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64a3c57ab2be171bcf6d4ab6ba2dad1199ab30c39c96da5425c3bcd2c49df65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-01-12T00:13:19Z",
    "title_canon_sha256": "e6debc01c1246f8dd233b7478e9aaab1eb5a128855078c2784795348198433bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2446",
    "kind": "arxiv",
    "version": 2
  }
}