Pith Number

pith:WXDNPWNT

pith:2008:WXDNPWNT25MDS3QSR3N6F2G6CV

not attested not anchored not stored refs pending

Magnetic virial identities, weak dispersion and Strichartz inequalities

Luca Fanelli, Luis Vega

arxiv:0806.0778 v2 · 2008-06-04 · 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{WXDNPWNT25MDS3QSR3N6F2G6CV}

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	2026-05-18T01:18:28.524541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c6d7d9b3d758396e128edbe2e8de1551350bacf60d36c0bfef354efeac815d

Aliases

arxiv: 0806.0778 · arxiv_version: 0806.0778v2 · doi: 10.48550/arxiv.0806.0778 · pith_short_12: WXDNPWNT25MD · pith_short_16: WXDNPWNT25MDS3QS · pith_short_8: WXDNPWNT

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/WXDNPWNT25MDS3QSR3N6F2G6CV \
  | 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: b5c6d7d9b3d758396e128edbe2e8de1551350bacf60d36c0bfef354efeac815d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8328bba950788d3d2d02966dc35b515337752e0b7fb561ff4d32ad5d3168151c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-06-04T14:02:49Z",
    "title_canon_sha256": "2e59a7d16e5f835b1c1fc066272b193102f55b29268c61306c3c95cc06a7c7c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0778",
    "kind": "arxiv",
    "version": 2
  }
}