Pith Number

pith:4HK2BSTA

pith:2014:4HK2BSTAMF2KDE6HDMGHHDO7PP

not attested not anchored not stored refs pending

Relic density calculations beyond tree-level, exact calculations versus effective couplings: the ZZ final state

A. Mariano, F. Boudjema, G. Drieu La Rochelle

arxiv:1403.7459 v1 · 2014-03-28 · hep-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{4HK2BSTAMF2KDE6HDMGHHDO7PP}

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	2026-05-18T02:48:36.553084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d5a0ca606174a193c71b0c738ddf7bfdffbdbc156c6c4f15b1d47f554aeb0a

Aliases

arxiv: 1403.7459 · arxiv_version: 1403.7459v1 · doi: 10.48550/arxiv.1403.7459 · pith_short_12: 4HK2BSTAMF2K · pith_short_16: 4HK2BSTAMF2KDE6H · pith_short_8: 4HK2BSTA

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/4HK2BSTAMF2KDE6HDMGHHDO7PP \
  | 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: e1d5a0ca606174a193c71b0c738ddf7bfdffbdbc156c6c4f15b1d47f554aeb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3ce1e2febbd9c8cbb2f1289927ee36b205c0776f0dd5ab7a8733e71e249f296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-03-28T17:45:44Z",
    "title_canon_sha256": "aa125318529ad1df3e2c76bed36261857a3cadf72fbf67c7ad27f95065887b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7459",
    "kind": "arxiv",
    "version": 1
  }
}