pith. sign in
Pith Number

pith:TFQUKCDO

pith:2013:TFQUKCDOPM7QSW3ZTBK6F4R6QZ
not attested not anchored not stored refs pending

Pair-production opacity at high and very-high gamma-ray energies

Dieter Horns, Manuel Meyer

arxiv:1309.3846 v1 · 2013-09-16 · astro-ph.HE · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TFQUKCDOPM7QSW3ZTBK6F4R6QZ}

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 2026-05-18T03:13:12.220846Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

996145086e7b3f095b799855e2f23e867ef0d3acd07edf505e130498c717dc4c

Aliases

arxiv: 1309.3846 · arxiv_version: 1309.3846v1 · doi: 10.48550/arxiv.1309.3846 · pith_short_12: TFQUKCDOPM7Q · pith_short_16: TFQUKCDOPM7QSW3Z · pith_short_8: TFQUKCDO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TFQUKCDOPM7QSW3ZTBK6F4R6QZ \
  | 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: 996145086e7b3f095b799855e2f23e867ef0d3acd07edf505e130498c717dc4c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "df52893732567970b8788b8001a73668c9d3af79311c1c8d0163ae6b49cc85a5",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2013-09-16T08:08:39Z",
    "title_canon_sha256": "1647c7481a83525b43e492cf8ae87deaa0117d571bb715402800890b445d463c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3846",
    "kind": "arxiv",
    "version": 1
  }
}