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Pith Number

pith:VRHMQS2B

pith:2013:VRHMQS2BCHKFWDD2IYPM2MJEGF
not attested not anchored not stored refs pending

Persistence property in weighted Sobolev spaces for nonlinear dispersive equations

Wladimir Neves, Xavier Carvajal

arxiv:1303.7123 v1 · 2013-03-28 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VRHMQS2BCHKFWDD2IYPM2MJEGF}

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 2026-05-18T03:29:38.206776Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ac4ec84b4111d45b0c7a461ecd312431571f981069ba16de07c0efa2e91a9197

Aliases

arxiv: 1303.7123 · arxiv_version: 1303.7123v1 · doi: 10.48550/arxiv.1303.7123 · pith_short_12: VRHMQS2BCHKF · pith_short_16: VRHMQS2BCHKFWDD2 · pith_short_8: VRHMQS2B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VRHMQS2BCHKFWDD2IYPM2MJEGF \
  | 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: ac4ec84b4111d45b0c7a461ecd312431571f981069ba16de07c0efa2e91a9197
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aae70e060a1b74c4c8af6b887eb2a6368cb946b358a44b26e048c210180847e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-28T13:52:05Z",
    "title_canon_sha256": "290b8dbe418aca3b3d6b780d9c4e14a9c99e5375afe065c2a8d08d440c25cbd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7123",
    "kind": "arxiv",
    "version": 1
  }
}