Pith Number

pith:IWY53N5Z

pith:2011:IWY53N5ZTE7DJOQELZA52Y3NSM

not attested not anchored not stored refs pending

A-priori bounds for KdV equation below $H^{-3/4}$

Baoping Liu

arxiv:1112.5177 v1 · 2011-12-21 · 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{IWY53N5ZTE7DJOQELZA52Y3NSM}

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	2026-05-18T04:05:48.090750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b1ddb7b9993e34ba045e41dd636d9320f26843a46dd324d1809ee9a62ac97c

Aliases

arxiv: 1112.5177 · arxiv_version: 1112.5177v1 · doi: 10.48550/arxiv.1112.5177 · pith_short_12: IWY53N5ZTE7D · pith_short_16: IWY53N5ZTE7DJOQE · pith_short_8: IWY53N5Z

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/IWY53N5ZTE7DJOQELZA52Y3NSM \
  | 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: 45b1ddb7b9993e34ba045e41dd636d9320f26843a46dd324d1809ee9a62ac97c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd1d81e399bb699c07c2a38d99527eaee07c85102b3fb1bad53a1dacd33d4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-21T21:15:40Z",
    "title_canon_sha256": "f47865b94a7f44d46cfbceccd5c79a8ac065c24ba1b8c63c6452f5cd30bac505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5177",
    "kind": "arxiv",
    "version": 1
  }
}