Pith Number

pith:YWD63SRO

pith:2012:YWD63SRO25YUUDWRZ7O452LN3B

not attested not anchored not stored refs pending

Trudinger-Moser inequality with remainder terms

Cyril Tintarev

arxiv:1204.5332 v4 · 2012-04-24 · 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{YWD63SRO25YUUDWRZ7O452LN3B}

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	2026-05-18T03:25:25.788199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c587edca2ed7714a0ed1cfddcee96dd8641b5cadb616ca915e9bcd853439e992

Aliases

arxiv: 1204.5332 · arxiv_version: 1204.5332v4 · doi: 10.48550/arxiv.1204.5332 · pith_short_12: YWD63SRO25YU · pith_short_16: YWD63SRO25YUUDWR · pith_short_8: YWD63SRO

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/YWD63SRO25YUUDWRZ7O452LN3B \
  | 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: c587edca2ed7714a0ed1cfddcee96dd8641b5cadb616ca915e9bcd853439e992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27b3369eb37857c7b088d0ca9063d2e1525cece3aa09e17c9fde9a11fca5d3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-24T11:04:07Z",
    "title_canon_sha256": "4c989f79952a9ed83ebc5334af8d1f105801f3a34dab941398af58ffc4a46070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5332",
    "kind": "arxiv",
    "version": 4
  }
}