Pith Number

pith:VRUQ7RM3

pith:2002:VRUQ7RM3U6QNLKABTM7XD6GLBA

not attested not anchored not stored refs pending

Naturally light invisible axion and local Z_{13} times Z_3 symmetries

Alex G. Dias, M. D. Tonasse, V. Pleitez

arxiv:hep-ph/0210172 v4 · 2002-10-10 · hep-ph · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRUQ7RM3U6QNLKABTM7XD6GLBA}

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.

Cited by

1 paper in Pith

Accidental Peccei-Quinn Symmetry from Chiral Gauge Symmetry and Mirror QCD

Receipt and verification

First computed	2026-07-04T16:34:23.088501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac690fc59ba7a0d5a8019b3f71f8cb081106f036a575d7116926a4b3fcf9f427

Aliases

arxiv: hep-ph/0210172 · arxiv_version: hep-ph/0210172v4 · doi: 10.48550/arxiv.hep-ph/0210172 · pith_short_12: VRUQ7RM3U6QN · pith_short_16: VRUQ7RM3U6QNLKAB · pith_short_8: VRUQ7RM3

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/VRUQ7RM3U6QNLKABTM7XD6GLBA \
  | 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: ac690fc59ba7a0d5a8019b3f71f8cb081106f036a575d7116926a4b3fcf9f427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341bc792a14277a596a1d0180f671eeca7762daf39c618dc3a3c37773e1b4edc",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-10-10T22:53:58Z",
    "title_canon_sha256": "c296dea5a10709db3eff8027bb771b33de2e9c2d835d8f92cddd2aeadc835b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0210172",
    "kind": "arxiv",
    "version": 4
  }
}