Pith Number

pith:JOTHBX6M

pith:2013:JOTHBX6MW7FHSNYFWHCITP4WKW

not attested not anchored not stored refs pending

Extension of H\"older's Theorem in Diff_{+}^{1+\epsilon}(I)

Azer Akhmedov

arxiv:1308.0250 v2 · 2013-08-01 · math.GR · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOTHBX6MW7FHSNYFWHCITP4WKW}

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	2026-05-17T23:53:15.218134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba670dfccb7ca793705b1c489bf965584a805b73a0fcd1cbd791c4d0de8067c

Aliases

arxiv: 1308.0250 · arxiv_version: 1308.0250v2 · doi: 10.48550/arxiv.1308.0250 · pith_short_12: JOTHBX6MW7FH · pith_short_16: JOTHBX6MW7FHSNYF · pith_short_8: JOTHBX6M

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/JOTHBX6MW7FHSNYFWHCITP4WKW \
  | 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: 4ba670dfccb7ca793705b1c489bf965584a805b73a0fcd1cbd791c4d0de8067c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb7e0a4a0b700ee981906570a46323bd4e35a90ac2a8038a7e7152d5a0d8bbf4",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-01T15:50:30Z",
    "title_canon_sha256": "4cbec417a42190a6c4913d844cf0e073f4e2cb0211ae137b6ade2bda83894ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0250",
    "kind": "arxiv",
    "version": 2
  }
}