Pith Number

pith:P2XQFUZN

pith:2018:P2XQFUZNTK27P4VCB4P3BUKHPM

not attested not anchored not stored refs pending

Particle Yields and Ratios within Equilibrium and Non-Equilibrium Statistics

Abdel Nasser Tawfik (Nile U., Cairo), Cairo & Egyptian Ctr. Theor. Phys., Cairo & WLCAPP, Eman R. Abo Elyazeed (Ain Shams U., Hayam Yassin

arxiv:1812.11347 v2 · 2018-12-29 · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2XQFUZNTK27P4VCB4P3BUKHPM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:42:02.656039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eaf02d32d9ab5f7f2a20f1fb0d1477b3dc69ef8db84a18619fe8d27eee52a86

Aliases

arxiv: 1812.11347 · arxiv_version: 1812.11347v2 · doi: 10.48550/arxiv.1812.11347 · pith_short_12: P2XQFUZNTK27 · pith_short_16: P2XQFUZNTK27P4VC · pith_short_8: P2XQFUZN

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/P2XQFUZNTK27P4VCB4P3BUKHPM \
  | 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: 7eaf02d32d9ab5f7f2a20f1fb0d1477b3dc69ef8db84a18619fe8d27eee52a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "609c698a77338964e071cd225f8e2f9ba433a0a2d1dd40aa410aac64096e5536",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-12-29T11:54:26Z",
    "title_canon_sha256": "0371b0b7b4af30aac8b7f0e9560b43451481de7d204d27c300b5ae3d390a01f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11347",
    "kind": "arxiv",
    "version": 2
  }
}