Pith Number

pith:4MWCB3RJ

pith:2018:4MWCB3RJ5SPP6SVSZPCDHMD4MS

not attested not anchored not stored refs pending

Probing QCD approach to thermal equilibrium with ultrahigh energy cosmic rays

Jorge F. Soriano, Luis A. Anchordoqui, Thomas C. Paul, Thomas J. Weiler

arxiv:1811.07728 v1 · 2018-11-19 · 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{4MWCB3RJ5SPP6SVSZPCDHMD4MS}

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	2026-05-18T00:00:23.602991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32c20ee29ec9eff4ab2cbc433b07c64914039df425eb1bd671918bf4a587cfa

Aliases

arxiv: 1811.07728 · arxiv_version: 1811.07728v1 · doi: 10.48550/arxiv.1811.07728 · pith_short_12: 4MWCB3RJ5SPP · pith_short_16: 4MWCB3RJ5SPP6SVS · pith_short_8: 4MWCB3RJ

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/4MWCB3RJ5SPP6SVSZPCDHMD4MS \
  | 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: e32c20ee29ec9eff4ab2cbc433b07c64914039df425eb1bd671918bf4a587cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45da0320151552a8a6e34e011f01f0d4bf8f2ba114a365fa726a3ae1ad5bd05",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-11-19T14:36:33Z",
    "title_canon_sha256": "7376f85ee838d77c70546743b387e1a2f8167dde170543a1bacaa9051fcdbbcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07728",
    "kind": "arxiv",
    "version": 1
  }
}