Pith Number

pith:PBOTJAXU

pith:2011:PBOTJAXUMPL43W6MQ5HI2E527B

not attested not anchored not stored refs pending

The Kadomtsev-Petviashvili I Equation on the Half-Plane

Athanassios S. Fokas, Dionyssios Mantzavinos

arxiv:1107.5612 v1 · 2011-07-28 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBOTJAXUMPL43W6MQ5HI2E527B}

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	2026-05-18T04:16:41.730732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785d3482f463d7cddbcc874e8d13baf86e94122dfd09d7f3bb93681c0d1c9228

Aliases

arxiv: 1107.5612 · arxiv_version: 1107.5612v1 · doi: 10.48550/arxiv.1107.5612 · pith_short_12: PBOTJAXUMPL4 · pith_short_16: PBOTJAXUMPL43W6M · pith_short_8: PBOTJAXU

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/PBOTJAXUMPL43W6MQ5HI2E527B \
  | 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: 785d3482f463d7cddbcc874e8d13baf86e94122dfd09d7f3bb93681c0d1c9228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5caea49afdc44e062d3ad93d4749b39e491cb469763dbe5b1bb3d91058ab5c79",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-28T01:11:24Z",
    "title_canon_sha256": "50d9ecd1946aa7ae480e960f10c700f0074afa43ee7e0b6be553dccbb7ae3cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5612",
    "kind": "arxiv",
    "version": 1
  }
}