Pith Number

pith:LPKTB4L3

pith:2012:LPKTB4L3WK2HXEYXI2CK3W6TDO

not attested not anchored not stored refs pending

Shear Anisotropic Inhomogeneous Besov And Triebel-Lizorkin Spaces In $R^d$

Daniel Vera

arxiv:1211.0642 v1 · 2012-11-03 · 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{LPKTB4L3WK2HXEYXI2CK3W6TDO}

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	2026-05-18T03:41:32.958265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd530f17bb2b47b93174684addbd31bbb9e5d3db2410abe03968f0991805b1c

Aliases

arxiv: 1211.0642 · arxiv_version: 1211.0642v1 · doi: 10.48550/arxiv.1211.0642 · pith_short_12: LPKTB4L3WK2H · pith_short_16: LPKTB4L3WK2HXEYX · pith_short_8: LPKTB4L3

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/LPKTB4L3WK2HXEYXI2CK3W6TDO \
  | 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: 5bd530f17bb2b47b93174684addbd31bbb9e5d3db2410abe03968f0991805b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f26efcf03828321562b237784837a9e943a778c20502c3b18bc1cac6731c6bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-03T22:03:57Z",
    "title_canon_sha256": "d94d8cc4a803b16678721cd582f42290b4495675647316f488142f31ed9f9f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0642",
    "kind": "arxiv",
    "version": 1
  }
}