Pith Number

pith:VCZC63GI

pith:2013:VCZC63GI66NS2CJJBYBHMJPGUD

not attested not anchored not stored refs pending

Besov regularity for operator equations on patchwise smooth manifolds

Markus Weimar, Stephan Dahlke

arxiv:1312.2734 v2 · 2013-12-10 · math.NA · 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{VCZC63GI66NS2CJJBYBHMJPGUD}

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	2026-05-18T02:43:24.211578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b22f6cc8f79b2d09290e027625e6a0d7b16ed21eb3b3f73fc563df9af622f8

Aliases

arxiv: 1312.2734 · arxiv_version: 1312.2734v2 · doi: 10.48550/arxiv.1312.2734 · pith_short_12: VCZC63GI66NS · pith_short_16: VCZC63GI66NS2CJJ · pith_short_8: VCZC63GI

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/VCZC63GI66NS2CJJBYBHMJPGUD \
  | 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: a8b22f6cc8f79b2d09290e027625e6a0d7b16ed21eb3b3f73fc563df9af622f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd9bdb53814c087e4f7a6233a432f440fb0ff4af85ce204c9238b35a7651002f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-10T09:58:53Z",
    "title_canon_sha256": "f08aeb796bf5aec9357251dfa4f72ef1a40951371039922b0f89d8a3e4d8c585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2734",
    "kind": "arxiv",
    "version": 2
  }
}