Pith Number

pith:PCAZRQQJ

pith:2026:PCAZRQQJN36QZNC6MR3GIPRAXD

not attested not anchored not stored refs pending

A Universal Obstruction to the Samuelson Condition for Tangent Lagrangian 2-Webs

Yasuhiro Kurokawa

arxiv:2606.22260 v1 · 2026-06-20 · 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{PCAZRQQJN36QZNC6MR3GIPRAXD}

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	2026-06-23T02:13:33.331798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788198c2096efd0cb45e6476643e20b8c08c0bd207dec4f0a5f466492d6f3a7f

Aliases

arxiv: 2606.22260 · arxiv_version: 2606.22260v1 · doi: 10.48550/arxiv.2606.22260 · pith_short_12: PCAZRQQJN36Q · pith_short_16: PCAZRQQJN36QZNC6 · pith_short_8: PCAZRQQJ

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/PCAZRQQJN36QZNC6MR3GIPRAXD \
  | 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: 788198c2096efd0cb45e6476643e20b8c08c0bd207dec4f0a5f466492d6f3a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085e7325f00668694590d25549ccdbdd0d42c793db2b81eb8a44c96100600216",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-20T23:14:06Z",
    "title_canon_sha256": "77b1020b6631877c37a280a3806a9dc9e6fe3c3a574ccf5bf831ce7b84a0938e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22260",
    "kind": "arxiv",
    "version": 1
  }
}