Pith Number

pith:VLJU54BM

pith:2009:VLJU54BM2WT4X4O6GNRBC7LPK5

not attested not anchored not stored refs pending

On the Best Constant in the Moser-Onofri-Aubin Inequality

Chang-shou Lin, Nassif Ghoussoub

arxiv:0910.0890 v1 · 2009-10-05 · 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{VLJU54BM2WT4X4O6GNRBC7LPK5}

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	2026-05-18T02:11:26.453931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad34ef02cd5a7cbf1de3362117d6f576e327be800fced87b4db62049e93025d

Aliases

arxiv: 0910.0890 · arxiv_version: 0910.0890v1 · doi: 10.48550/arxiv.0910.0890 · pith_short_12: VLJU54BM2WT4 · pith_short_16: VLJU54BM2WT4X4O6 · pith_short_8: VLJU54BM

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/VLJU54BM2WT4X4O6GNRBC7LPK5 \
  | 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: aad34ef02cd5a7cbf1de3362117d6f576e327be800fced87b4db62049e93025d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d0b0368f75cc93fda6ab8fe736d47925490a86bbc9f709754aa7836bcfd18d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-05T23:49:39Z",
    "title_canon_sha256": "4ac2cc8b3d808f6f8599474037e37dd4e725e66ebd023032c3bac89833fa453f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0890",
    "kind": "arxiv",
    "version": 1
  }
}