Pith Number

pith:52MRVLBG

pith:2004:52MRVLBGYOYCNLKKKVONGMI2I6

not attested not anchored not stored refs pending

Wave-kinetic description of nonlinear photons

G. Brodin, L. Stenflo, M. Marklund, P.K. Shukla

arxiv:physics/0411058 v1 · 2004-11-05 · physics.plasm-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52MRVLBGYOYCNLKKKVONGMI2I6}

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	2026-05-18T01:38:08.005191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee991aac26c3b026ad4a555cd3311a479efa3ce4dbc81f1ec7a71b86916d8ae9

Aliases

arxiv: physics/0411058 · arxiv_version: physics/0411058v1 · doi: 10.48550/arxiv.physics/0411058 · pith_short_12: 52MRVLBGYOYC · pith_short_16: 52MRVLBGYOYCNLKK · pith_short_8: 52MRVLBG

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/52MRVLBGYOYCNLKKKVONGMI2I6 \
  | 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: ee991aac26c3b026ad4a555cd3311a479efa3ce4dbc81f1ec7a71b86916d8ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a862e6f4e7cdafbc954f7caa683fd08c4eb54203554acbe8cb5ea8a6b8d7a8a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2004-11-05T15:09:27Z",
    "title_canon_sha256": "e09e63761b81351c45f875f1b052f9ec272cf3e224447ccaf4914422778d0fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0411058",
    "kind": "arxiv",
    "version": 1
  }
}