Pith Number

pith:M3BPA2W7

pith:2014:M3BPA2W7KP6XDU2U3WWPUYVK55

not attested not anchored not stored refs pending

Schauder theory in variable H\"older spaces

Piotr Micha{\l} Bies, Przemys{\l}aw G\'orka

arxiv:1411.7862 v1 · 2014-11-28 · 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{M3BPA2W7KP6XDU2U3WWPUYVK55}

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	2026-05-18T02:32:37.083402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c2f06adf53fd71d354ddacfa62aaef4bccc4435fafb4481aabc1efe99489d4

Aliases

arxiv: 1411.7862 · arxiv_version: 1411.7862v1 · doi: 10.48550/arxiv.1411.7862 · pith_short_12: M3BPA2W7KP6X · pith_short_16: M3BPA2W7KP6XDU2U · pith_short_8: M3BPA2W7

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/M3BPA2W7KP6XDU2U3WWPUYVK55 \
  | 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: 66c2f06adf53fd71d354ddacfa62aaef4bccc4435fafb4481aabc1efe99489d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c21f4cb4841fb22cad486a9f3f0086c6357b25a0faa9e5aa80a48d28652812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-28T13:32:28Z",
    "title_canon_sha256": "02c3e5b34e5d6598a78cf4732c9ee2008b0421d2735e062983bc817302a7e7fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7862",
    "kind": "arxiv",
    "version": 1
  }
}