Pith Number

pith:ZKEPJ53I

pith:2025:ZKEPJ53IJ5CURRDCY4KCQ6XNEM

not attested not anchored not stored refs pending

Symmetry and symmetry breaking in interpolation inequalities for two-dimensional spinors -- Preliminary results

Jean Dolbeault, Jonte Weixler, Rupert L. Frank

arxiv:2506.08318 v1 · 2025-06-10 · 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{ZKEPJ53IJ5CURRDCY4KCQ6XNEM}

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	2026-07-05T11:18:47.978468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca88f4f7684f4548c462c714287aed231bc40b5564b4dde7d4ae728b8f2c4637

Aliases

arxiv: 2506.08318 · arxiv_version: 2506.08318v1 · doi: 10.48550/arxiv.2506.08318 · pith_short_12: ZKEPJ53IJ5CU · pith_short_16: ZKEPJ53IJ5CURRDC · pith_short_8: ZKEPJ53I

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/ZKEPJ53IJ5CURRDCY4KCQ6XNEM \
  | 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: ca88f4f7684f4548c462c714287aed231bc40b5564b4dde7d4ae728b8f2c4637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf252ec5b5c906f7de2231cc1811d2dbf6bc27db5af72a26108ea6e175d687f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-10T01:04:04Z",
    "title_canon_sha256": "f48182dbdee3c7083ecf6664f97dc1a504701992cbe18a9c1cae1fbf0e49da23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08318",
    "kind": "arxiv",
    "version": 1
  }
}