Pith Number

pith:XYVIIZKK

pith:2018:XYVIIZKKRVSC54XPJI7SQML4TM

not attested not anchored not stored refs pending

Naumov- and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos

Shun Zhou, Zhi-zhong Xing

arxiv:1804.01925 v2 · 2018-04-05 · 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{XYVIIZKKRVSC54XPJI7SQML4TM}

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	2026-05-18T00:07:32.669571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2a84654a8d642ef2ef4a3f28317c9b11a226ca712044cb92c9570d843a41bd

Aliases

arxiv: 1804.01925 · arxiv_version: 1804.01925v2 · doi: 10.48550/arxiv.1804.01925 · pith_short_12: XYVIIZKKRVSC · pith_short_16: XYVIIZKKRVSC54XP · pith_short_8: XYVIIZKK

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/XYVIIZKKRVSC54XPJI7SQML4TM \
  | 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: be2a84654a8d642ef2ef4a3f28317c9b11a226ca712044cb92c9570d843a41bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7620fc9344003a0c261cf35029bec950176c692ded8bbef6b82463a8462f9592",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-04-05T16:00:08Z",
    "title_canon_sha256": "06536c7b6e3e2eb63aa259ead56be349e41c582803dc64fc3b6b21d749c323b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01925",
    "kind": "arxiv",
    "version": 2
  }
}