Pith Number

pith:UIGQG36S

pith:2014:UIGQG36SL2HXVJRHV37WE4CQZ7

not attested not anchored not stored refs pending

Symplectic non-squeezing for the cubic nonlinear Klein-Gordon equation on $\mathbb{T}^3$

Dana Mendelson

arxiv:1411.3659 v5 · 2014-11-13 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIGQG36SL2HXVJRHV37WE4CQZ7}

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	2026-05-18T00:42:52.019871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a20d036fd25e8f7aa627aeff627050cfd180636e10c56e36ef5f261a8cce2714

Aliases

arxiv: 1411.3659 · arxiv_version: 1411.3659v5 · doi: 10.48550/arxiv.1411.3659 · pith_short_12: UIGQG36SL2HX · pith_short_16: UIGQG36SL2HXVJRH · pith_short_8: UIGQG36S

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/UIGQG36SL2HXVJRHV37WE4CQZ7 \
  | 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: a20d036fd25e8f7aa627aeff627050cfd180636e10c56e36ef5f261a8cce2714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3069c68b43d0deb9a13d558537392c2ea48fd6846e34cda7125f221ce408352b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-13T18:44:36Z",
    "title_canon_sha256": "86f39656dc4f61589ed9f74483534736bc2f67eb9efd3746e210fb5a79bd40b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3659",
    "kind": "arxiv",
    "version": 5
  }
}