Pith Number

pith:3MMP3677

pith:2012:3MMP3677MQFP67O2AIYLFZ6XGI

not attested not anchored not stored refs pending

Sharp interpolation inequalities on the sphere : new methods and consequences

Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE), Michael Loss, Michal Kowalczyk (DIM)

arxiv:1210.1853 v1 · 2012-10-05 · 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{3MMP3677MQFP67O2AIYLFZ6XGI}

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	2026-05-18T03:39:06.103177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db18fdfbff640aff7dda0230b2e7d732299cbe6ff0f0b7e8ef1094e6e73e684a

Aliases

arxiv: 1210.1853 · arxiv_version: 1210.1853v1 · doi: 10.48550/arxiv.1210.1853 · pith_short_12: 3MMP3677MQFP · pith_short_16: 3MMP3677MQFP67O2 · pith_short_8: 3MMP3677

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/3MMP3677MQFP67O2AIYLFZ6XGI \
  | 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: db18fdfbff640aff7dda0230b2e7d732299cbe6ff0f0b7e8ef1094e6e73e684a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0813b842e31036777b27d2a8a87a3dbc5c6e11845eb135fa6d0ede396af6cfdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-05T20:00:52Z",
    "title_canon_sha256": "f107234982afa2c7c6313fa334b494bc5b29a2a0437f29c40b8ef3e45a3b1faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1853",
    "kind": "arxiv",
    "version": 1
  }
}