Pith Number

pith:CLT3PKX3

pith:2010:CLT3PKX32R5KX4QOOPDTPI3SOB

not attested not anchored not stored refs pending

Hadronic Multiparticle Production at Ultra-High Energies and Extensive Air Showers

Michael Unger, Ralf Ulrich, Ralph Engel

arxiv:1010.4310 v1 · 2010-10-20 · hep-ph · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLT3PKX32R5KX4QOOPDTPI3SOB}

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	2026-05-18T04:25:28.043112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e7b7aafbd47aabf20e73c737a372705afc7cc1886fd1646a7d230fa0cfa79d

Aliases

arxiv: 1010.4310 · arxiv_version: 1010.4310v1 · doi: 10.48550/arxiv.1010.4310 · pith_short_12: CLT3PKX32R5K · pith_short_16: CLT3PKX32R5KX4QO · pith_short_8: CLT3PKX3

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/CLT3PKX32R5KX4QOOPDTPI3SOB \
  | 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: 12e7b7aafbd47aabf20e73c737a372705afc7cc1886fd1646a7d230fa0cfa79d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "629d5d55269ebdcf976a8d3cc1a3445adcbb8fbb82df5954e2745fef1b9baf2e",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-10-20T20:12:38Z",
    "title_canon_sha256": "79d3988fa2929d6844c487f285cdb3cf7a1c5d4599be63918c664bed057a2e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4310",
    "kind": "arxiv",
    "version": 1
  }
}