Pith Number

pith:MX5RT7P5

pith:2011:MX5RT7P5BDO2MNGTEKW2JR6KVJ

not attested not anchored not stored refs pending

The IVP for the Benjamin-Ono equation in weighted Sobolev spaces II

And Gustavo Ponce, Felipe Linares, German Fonseca

arxiv:1105.3905 v2 · 2011-05-19 · 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{MX5RT7P5BDO2MNGTEKW2JR6KVJ}

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	2026-05-18T04:21:10.356274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65fb19fdfd08dda634d322ada4c7caaa67eec9b2b34de3bf2789135e14a9548e

Aliases

arxiv: 1105.3905 · arxiv_version: 1105.3905v2 · doi: 10.48550/arxiv.1105.3905 · pith_short_12: MX5RT7P5BDO2 · pith_short_16: MX5RT7P5BDO2MNGT · pith_short_8: MX5RT7P5

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/MX5RT7P5BDO2MNGTEKW2JR6KVJ \
  | 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: 65fb19fdfd08dda634d322ada4c7caaa67eec9b2b34de3bf2789135e14a9548e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5ed1ddfb515094043e707ed2cff12708d78800711e80b665c891857bed1fa86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-19T15:16:07Z",
    "title_canon_sha256": "5f70863b6c35417120a3699ac390b934d0887dfc1b2544bb64252fddacbed511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3905",
    "kind": "arxiv",
    "version": 2
  }
}