Pith Number

pith:LFSFLJAJ

pith:2013:LFSFLJAJYD2RVYIXPVRAI2J5WK

not attested not anchored not stored refs pending

Towards a unified theory of Sobolev inequalities

Joaquim Martin, Mario Milman

arxiv:1311.6191 v3 · 2013-11-25 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFSFLJAJYD2RVYIXPVRAI2J5WK}

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	2026-05-18T02:54:06.973140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596455a409c0f51ae1177d6204693db2b3e53cd87ba2bfdd4a538754cf4ec4b8

Aliases

arxiv: 1311.6191 · arxiv_version: 1311.6191v3 · doi: 10.48550/arxiv.1311.6191 · pith_short_12: LFSFLJAJYD2R · pith_short_16: LFSFLJAJYD2RVYIX · pith_short_8: LFSFLJAJ

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/LFSFLJAJYD2RVYIXPVRAI2J5WK \
  | 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: 596455a409c0f51ae1177d6204693db2b3e53cd87ba2bfdd4a538754cf4ec4b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab526f36032b2aeb046ea7ed20782bee2162d8fba0a8a00797b698634c59e191",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-25T01:05:22Z",
    "title_canon_sha256": "6e2369baee8a1d1d0d713e85ec9f754447b2d52c100b76155d7986be06dd9acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6191",
    "kind": "arxiv",
    "version": 3
  }
}