Pith Number

pith:XSSD4F7F

pith:2011:XSSD4F7FDFF6BSI5RHWMCVXVTF

not attested not anchored not stored refs pending

Adams type inequalities and related elliptic partial differential equations in dimension four

Yunyan Yang

arxiv:1105.1528 v1 · 2011-05-08 · 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{XSSD4F7FDFF6BSI5RHWMCVXVTF}

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	2026-05-18T04:22:39.259193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca43e17e5194be0c91d89ecc156f599703fb06ae6bfe11a2f3896f9f27d4712

Aliases

arxiv: 1105.1528 · arxiv_version: 1105.1528v1 · doi: 10.48550/arxiv.1105.1528 · pith_short_12: XSSD4F7FDFF6 · pith_short_16: XSSD4F7FDFF6BSI5 · pith_short_8: XSSD4F7F

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/XSSD4F7FDFF6BSI5RHWMCVXVTF \
  | 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: bca43e17e5194be0c91d89ecc156f599703fb06ae6bfe11a2f3896f9f27d4712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e2fe7c037cd87aa0261580001f13689093ff7f6cf73a7c274875f82137c851",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-08T15:35:14Z",
    "title_canon_sha256": "4ae028887a5a31a0a7d2ede1272b05c5e9a46254630215054df2ba818f450533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1528",
    "kind": "arxiv",
    "version": 1
  }
}