Pith Number

pith:AVQFKZ6B

pith:2003:AVQFKZ6BYBETCS6SPUC7GMWZ4Y

not attested not anchored not stored refs pending

Nonlinear Propagation of Incoherent Photons in a Radiation Background

Gert Brodin, Lennart Stenflo, Mattias Marklund, Padma K. Shukla

arxiv:hep-ph/0311103 v1 · 2003-11-08 · hep-ph · astro-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{AVQFKZ6BYBETCS6SPUC7GMWZ4Y}

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	2026-07-04T15:17:41.735930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05605567c1c049314bd27d05f332d9e6193dd96613f19f2bd56582234720b743

Aliases

arxiv: hep-ph/0311103 · arxiv_version: hep-ph/0311103v1 · doi: 10.48550/arxiv.hep-ph/0311103 · pith_short_12: AVQFKZ6BYBET · pith_short_16: AVQFKZ6BYBETCS6S · pith_short_8: AVQFKZ6B

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/AVQFKZ6BYBETCS6SPUC7GMWZ4Y \
  | 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: 05605567c1c049314bd27d05f332d9e6193dd96613f19f2bd56582234720b743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76be9dd96cac61c9126a951ffc6805f8a36635cfe357d7996d71e3f369ba988d",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-11-08T09:56:20Z",
    "title_canon_sha256": "83dd731e017d73e6cbf1f5dd9178c030037dba4c72e0df4f6d8e5de544d83a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0311103",
    "kind": "arxiv",
    "version": 1
  }
}