Pith Number

pith:YEOVYYGB

pith:2013:YEOVYYGB33L6QJULF7KTFN3UB7

not attested not anchored not stored refs pending

Rigidity results for non local phase transitions in the Heisenberg group $H$

Luis F. L\'opez, Yannick Sire

arxiv:1306.3438 v2 · 2013-06-14 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEOVYYGB33L6QJULF7KTFN3UB7}

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	2026-05-18T03:20:47.373823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c11d5c60c1ded7e8268b2fd532b7740ff3bdd65d446bd0805219e2d047c636fa

Aliases

arxiv: 1306.3438 · arxiv_version: 1306.3438v2 · doi: 10.48550/arxiv.1306.3438 · pith_short_12: YEOVYYGB33L6 · pith_short_16: YEOVYYGB33L6QJUL · pith_short_8: YEOVYYGB

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/YEOVYYGB33L6QJULF7KTFN3UB7 \
  | 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: c11d5c60c1ded7e8268b2fd532b7740ff3bdd65d446bd0805219e2d047c636fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34907262ab194000fedf72f80330e9cb24eda24cb0d58ee9653962167f21937c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-14T16:03:26Z",
    "title_canon_sha256": "d6037ae615fbd63c7f000778543717d83f0bb681a364bdab695fac7c08f11389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3438",
    "kind": "arxiv",
    "version": 2
  }
}