Pith Number

pith:KJAPOTCS

pith:2008:KJAPOTCS4IKS7OD27CYULFDMDT

not attested not anchored not stored refs pending

On universality of critical behaviour in Hamiltonian PDEs

Boris Dubrovin

arxiv:0804.3790 v1 · 2008-04-23 · 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{KJAPOTCS4IKS7OD27CYULFDMDT}

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.

Cited by

1 paper in Pith

Many-faced Painlev\'e I: irregular conformal blocks, topological recursion, and holomorphic anomaly approaches

Receipt and verification

First computed	2026-07-04T15:11:04.906135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5240f74c52e2152fb87af8b145946c1cc3502ec21e34e49c96efc3b7ac483a3d

Aliases

arxiv: 0804.3790 · arxiv_version: 0804.3790v1 · doi: 10.48550/arxiv.0804.3790 · pith_short_12: KJAPOTCS4IKS · pith_short_16: KJAPOTCS4IKS7OD2 · pith_short_8: KJAPOTCS

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/KJAPOTCS4IKS7OD27CYULFDMDT \
  | 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: 5240f74c52e2152fb87af8b145946c1cc3502ec21e34e49c96efc3b7ac483a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4b01c501a200f3a14eb4be842f3caab1b90fdc1e4ff1e26af0824f48699c05",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-04-23T19:15:31Z",
    "title_canon_sha256": "7a0ed0977c32e00e5216efcdbaebc225a033ffc1d8bb2ccfcba491ad56015d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3790",
    "kind": "arxiv",
    "version": 1
  }
}