Pith Number

pith:TSWF722D

pith:2006:TSWF722D4CRJ4QQ4GHXR7SLGLR

not attested not anchored not stored refs pending

The Moser-Trudinger inequality on Kahler-Einstein manifolds

Ben Weinkove, D.H. Phong, Jacob Sturm, Jian Song

arxiv:math/0604076 v2 · 2006-04-04 · 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{TSWF722D4CRJ4QQ4GHXR7SLGLR}

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	2026-05-17T23:57:54.658544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cac5feb43e0a29e421c31ef1fc9665c6831fbd1bc35a97aacf6f49ef6ecabda

Aliases

arxiv: math/0604076 · arxiv_version: math/0604076v2 · doi: 10.48550/arxiv.math/0604076 · pith_short_12: TSWF722D4CRJ · pith_short_16: TSWF722D4CRJ4QQ4 · pith_short_8: TSWF722D

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/TSWF722D4CRJ4QQ4GHXR7SLGLR \
  | 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: 9cac5feb43e0a29e421c31ef1fc9665c6831fbd1bc35a97aacf6f49ef6ecabda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6712315211aa21a95f0b0e222f38c058d2428981541339e2d24ae1d0d4a25a97",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-04-04T16:11:34Z",
    "title_canon_sha256": "9ecbb0f7e0b7c7f4557822045aa5592e089c7b5b612622cb254b66a815713a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604076",
    "kind": "arxiv",
    "version": 2
  }
}