Pith Number

pith:B32RR3OI

pith:2003:B32RR3OISFV6CGLNIYOMN55P66

not attested not anchored not stored refs pending

Electromagnetic wave collapse in a radiation background

Gert Brodin, Lennart Stenflo, Mattias Marklund

arxiv:astro-ph/0305269 v2 · 2003-05-15 · astro-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B32RR3OISFV6CGLNIYOMN55P66}

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	2026-07-04T16:37:08.666983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef518edc8916be1196d461cc6f7aff79907ec105c58fbad591232e82d3ecf4d

Aliases

arxiv: astro-ph/0305269 · arxiv_version: astro-ph/0305269v2 · doi: 10.48550/arxiv.astro-ph/0305269 · pith_short_12: B32RR3OISFV6 · pith_short_16: B32RR3OISFV6CGLN · pith_short_8: B32RR3OI

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/B32RR3OISFV6CGLNIYOMN55P66 \
  | 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: 0ef518edc8916be1196d461cc6f7aff79907ec105c58fbad591232e82d3ecf4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5ccb7e1c37633b2c6cb8e54877a5ef1bdfc9b8b100eadbe270043fb4d563474",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-05-15T13:33:31Z",
    "title_canon_sha256": "067f5cbdd98c7530bf82e18be11767695642244cf8388bb0f838683b49301d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0305269",
    "kind": "arxiv",
    "version": 2
  }
}