Pith Number

pith:HXOX7HOA

pith:2025:HXOX7HOA72T2BBPGOUNEWOTEKW

not attested not anchored not stored refs pending

Dafermos' principle and Brenier's duality scheme for defocusing dispersive equations

Dmitry Vorotnikov

arxiv:2501.05389 v2 · 2025-01-09 · math.AP · math-ph · math.FA · 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{HXOX7HOA72T2BBPGOUNEWOTEKW}

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	2026-07-05T10:41:51.745435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ddd7f9dc0fea7a085e6751a4b3a6455b232a7a0f3fe7cd6351e5d23621d6976

Aliases

arxiv: 2501.05389 · arxiv_version: 2501.05389v2 · doi: 10.48550/arxiv.2501.05389 · pith_short_12: HXOX7HOA72T2 · pith_short_16: HXOX7HOA72T2BBPG · pith_short_8: HXOX7HOA

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/HXOX7HOA72T2BBPGOUNEWOTEKW \
  | 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: 3ddd7f9dc0fea7a085e6751a4b3a6455b232a7a0f3fe7cd6351e5d23621d6976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a354231f31aab66ec88706885a7e0b3f55674742ac937bf0329a6529668e1a",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-09T17:22:38Z",
    "title_canon_sha256": "13835dd61631cb0143d7c6cbbc2dbbdec37de4edb0ee743a696460000a6f6b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05389",
    "kind": "arxiv",
    "version": 2
  }
}