Pith Number

pith:KK4TXIJR

pith:2013:KK4TXIJR2FEFYP7YFE7BDZWWOP

not attested not anchored not stored refs pending

Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions

Dirk Pauly, Gerhard Starke, Patrizio Neff, Sebastian Bauer

arxiv:1307.1434 v1 · 2013-07-04 · math.AP · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK4TXIJR2FEFYP7YFE7BDZWWOP}

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	2026-05-18T03:19:13.702949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b93ba131d1485c3ff8293e11e6d673c4a1720ecfe42cf3da1c25bfec7b7bd3

Aliases

arxiv: 1307.1434 · arxiv_version: 1307.1434v1 · doi: 10.48550/arxiv.1307.1434 · pith_short_12: KK4TXIJR2FEF · pith_short_16: KK4TXIJR2FEFYP7Y · pith_short_8: KK4TXIJR

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/KK4TXIJR2FEFYP7YFE7BDZWWOP \
  | 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: 52b93ba131d1485c3ff8293e11e6d673c4a1720ecfe42cf3da1c25bfec7b7bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2629d61ff78d3ff041649c21ceebce59dbfebfa724470fcb44fdbdf245dc6cf8",
    "cross_cats_sorted": [
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-04T18:04:38Z",
    "title_canon_sha256": "c2b7a459dcc2f2720f22e263215c41f1e35393820f45ceb01ef7f8ce4c0a7a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1434",
    "kind": "arxiv",
    "version": 1
  }
}