pith. sign in
Pith Number

pith:CTTKBE5Q

pith:2002:CTTKBE5QCKFLJLQZS736PPT7GF
not attested not anchored not stored refs pending

Power-like abundance of elements in Universe

G.Wilk, Z.Wlodarczyk

arxiv:hep-ph/0210203 v2 · 2002-10-14 · hep-ph · astro-ph · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CTTKBE5QCKFLJLQZS736PPT7GF}

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 2026-05-18T00:37:12.281248Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

14e6a093b0128ab4ae1997f7e7be7f315c12ee6cb7ebb44231538a1b60a8d2f1

Aliases

arxiv: hep-ph/0210203 · arxiv_version: hep-ph/0210203v2 · doi: 10.48550/arxiv.hep-ph/0210203 · pith_short_12: CTTKBE5QCKFL · pith_short_16: CTTKBE5QCKFLJLQZ · pith_short_8: CTTKBE5Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CTTKBE5QCKFLJLQZS736PPT7GF \
  | 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: 14e6a093b0128ab4ae1997f7e7be7f315c12ee6cb7ebb44231538a1b60a8d2f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5a285f2f78931ecc47f0459e3481c93c6f3f621ea026e28b795ff53707bb8191",
    "cross_cats_sorted": [
      "astro-ph",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-10-14T14:07:49Z",
    "title_canon_sha256": "c09a14cc0d6286e7a980c1a57f1a8516953a8598a99eb510cca2a0097bc746cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0210203",
    "kind": "arxiv",
    "version": 2
  }
}