Pith Number

pith:DFR6AZBY

pith:2015:DFR6AZBYCP4S57CLFVTBVRZ236

not attested not anchored not stored refs pending

Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation

Anna Kazeykina, Claudio Mu\~noz

arxiv:1502.00968 v1 · 2015-02-03 · 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{DFR6AZBYCP4S57CLFVTBVRZ236}

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	2026-05-18T02:27:59.122861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1963e0643813f92efc4b2d661ac73adf8e28058b956ce690056bb285279f8e9d

Aliases

arxiv: 1502.00968 · arxiv_version: 1502.00968v1 · doi: 10.48550/arxiv.1502.00968 · pith_short_12: DFR6AZBYCP4S · pith_short_16: DFR6AZBYCP4S57CL · pith_short_8: DFR6AZBY

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/DFR6AZBYCP4S57CLFVTBVRZ236 \
  | 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: 1963e0643813f92efc4b2d661ac73adf8e28058b956ce690056bb285279f8e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d6db070e0cff8caea667efadc76b0f9d87abc6615a82c41fb690ded4b4c455",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-03T19:24:00Z",
    "title_canon_sha256": "a50890373fca7599d1e462355733b57b72f4be29e110ee42f54500483243d5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00968",
    "kind": "arxiv",
    "version": 1
  }
}