Pith Number

pith:A4YOP46V

pith:2001:A4YOP46VQEEZG4JCQVL27PWSUY

not attested not anchored not stored refs pending

Unification in models with replicated gauge groups

Adam Falkowski, Piotr H. Chankowski, Stefan Pokorski

arxiv:hep-ph/0109272 v1 · 2001-09-27 · 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{A4YOP46VQEEZG4JCQVL27PWSUY}

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	2026-05-18T02:36:39.297882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0730e7f3d581099371228557afbed2a605e61a9a1f484e409d1727ca859f2795

Aliases

arxiv: hep-ph/0109272 · arxiv_version: hep-ph/0109272v1 · doi: 10.48550/arxiv.hep-ph/0109272 · pith_short_12: A4YOP46VQEEZ · pith_short_16: A4YOP46VQEEZG4JC · pith_short_8: A4YOP46V

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/A4YOP46VQEEZG4JCQVL27PWSUY \
  | 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: 0730e7f3d581099371228557afbed2a605e61a9a1f484e409d1727ca859f2795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbf5ddc690c9f7092fb0213f01e7145f9203face2266b642e624d137b95fca2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-27T17:28:22Z",
    "title_canon_sha256": "4c0599887cc45161012e57adce472eff14e9414df3d0471bdd2ce044c3447de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109272",
    "kind": "arxiv",
    "version": 1
  }
}