Pith Number

pith:JOBSMDE7

pith:2003:JOBSMDE7YT4NMSDEK5XIRZH6Y3

not attested not anchored not stored refs pending

Concept of Formation Length in Radiation Theory

V. M. Katkov, V. N. Baier

arxiv:hep-ph/0309211 v2 · 2003-09-18 · hep-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{JOBSMDE7YT4NMSDEK5XIRZH6Y3}

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	2026-05-18T04:15:27.187046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b83260c9fc4f8d64864576e88e4fec6f2ef6d542cd55dd3069e0b0b8a75036b

Aliases

arxiv: hep-ph/0309211 · arxiv_version: hep-ph/0309211v2 · doi: 10.48550/arxiv.hep-ph/0309211 · pith_short_12: JOBSMDE7YT4N · pith_short_16: JOBSMDE7YT4NMSDE · pith_short_8: JOBSMDE7

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/JOBSMDE7YT4NMSDEK5XIRZH6Y3 \
  | 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: 4b83260c9fc4f8d64864576e88e4fec6f2ef6d542cd55dd3069e0b0b8a75036b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a4a623500aa1f91da7881888f4da620047f7f92eba9bac809f2b4ef479b788",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-09-18T06:00:01Z",
    "title_canon_sha256": "da1ee4870c3415ba18ae7b3db88e242c982ac219f6438939d22d0e6f23c483f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0309211",
    "kind": "arxiv",
    "version": 2
  }
}