Pith Number

pith:RHGIJ5RI

pith:2013:RHGIJ5RIWFYEQRSN5KDFFAY2ZK

not attested not anchored not stored refs pending

A Moser-Trudinger inequality for the singular Toda system

Andrea Malchiodi, Luca Battaglia

arxiv:1307.3921 v3 · 2013-07-15 · 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{RHGIJ5RIWFYEQRSN5KDFFAY2ZK}

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	2026-05-18T03:11:12.766974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89cc84f628b17048464dea8652831aca9681af7f9ee3c92f21f5cad88c1e5742

Aliases

arxiv: 1307.3921 · arxiv_version: 1307.3921v3 · doi: 10.48550/arxiv.1307.3921 · pith_short_12: RHGIJ5RIWFYE · pith_short_16: RHGIJ5RIWFYEQRSN · pith_short_8: RHGIJ5RI

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/RHGIJ5RIWFYEQRSN5KDFFAY2ZK \
  | 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: 89cc84f628b17048464dea8652831aca9681af7f9ee3c92f21f5cad88c1e5742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4e5c639d6cc21af64305e6adf17458c0edeab2949a698b2e2b8d6c4e64c9a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-15T13:03:49Z",
    "title_canon_sha256": "7ae6b4f7b0950a6be9045a1c48bba639d3707af4f342f6d5655a82ee09021b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3921",
    "kind": "arxiv",
    "version": 3
  }
}