Pith Number

pith:HOJCBTN3

pith:2014:HOJCBTN3Q5CWGTP4AYHVZGPKCY

not attested not anchored not stored refs pending

Hardy-Sobolev Equations on Compact Riemannian Manifolds

Hassan Jaber

arxiv:1401.6133 v1 · 2014-01-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOJCBTN3Q5CWGTP4AYHVZGPKCY}

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	2026-05-18T01:19:51.096040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9220cdbb8745634dfc060f5c99ea1619d2973deb33ba160f3954f203d2008c

Aliases

arxiv: 1401.6133 · arxiv_version: 1401.6133v1 · doi: 10.48550/arxiv.1401.6133 · pith_short_12: HOJCBTN3Q5CW · pith_short_16: HOJCBTN3Q5CWGTP4 · pith_short_8: HOJCBTN3

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/HOJCBTN3Q5CWGTP4AYHVZGPKCY \
  | 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: 3b9220cdbb8745634dfc060f5c99ea1619d2973deb33ba160f3954f203d2008c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c0ab0b2cf849861c98a00f47c1f61d86e3b3aff07ae4826bd51f015b550467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-23T19:11:58Z",
    "title_canon_sha256": "45d8230029c13b060b97d66a16e8f9db14dc41b8784dccd19761ddb938017174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6133",
    "kind": "arxiv",
    "version": 1
  }
}