Pith Number

pith:MVCF6YKQ

pith:2013:MVCF6YKQJJSB7AD7BUZZWYWLI6

not attested not anchored not stored refs pending

Logarithmic Sobolev inequalities and spectral concentration for the cubic Schr\"odinger equation

(2) University of New South Wales), Caroline Brett (1), Gordon Blower (1), Ian Doust (2) ((1) Lancaster University

arxiv:1308.3649 v2 · 2013-08-16 · math.SP · 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{MVCF6YKQJJSB7AD7BUZZWYWLI6}

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	2026-05-18T01:08:36.120089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65445f61504a641f807f0d339b62cb4795a4c5dc448c8177cdbaab0b42437788

Aliases

arxiv: 1308.3649 · arxiv_version: 1308.3649v2 · doi: 10.48550/arxiv.1308.3649 · pith_short_12: MVCF6YKQJJSB · pith_short_16: MVCF6YKQJJSB7AD7 · pith_short_8: MVCF6YKQ

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/MVCF6YKQJJSB7AD7BUZZWYWLI6 \
  | 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: 65445f61504a641f807f0d339b62cb4795a4c5dc448c8177cdbaab0b42437788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a4fac566d50d6dc24188ed84d39dcc03d1a610d4aa20aef649f2f68e33fade",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-08-16T15:14:30Z",
    "title_canon_sha256": "7a9cf1aa03cefafe6e8da5668ccf5def99dded7d664282f92ac17e2eb2bcc65f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3649",
    "kind": "arxiv",
    "version": 2
  }
}