Pith Number

pith:XAAZNZ5Y

pith:2026:XAAZNZ5YBCAEIOAQXH6QES3GL7

not attested not anchored not stored refs pending

Renormalization of axial anomaly in SU(N)$\times$U(1)

Narayan Rana, Tanmoy Pati

arxiv:2606.20342 v1 · 2026-06-18 · hep-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{XAAZNZ5YBCAEIOAQXH6QES3GL7}

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	2026-06-19T16:13:09.431750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b80196e7b80880443810b9fd024b665ff8b201e45e8c2c4061faecceabfda090

Aliases

arxiv: 2606.20342 · arxiv_version: 2606.20342v1 · doi: 10.48550/arxiv.2606.20342 · pith_short_12: XAAZNZ5YBCAE · pith_short_16: XAAZNZ5YBCAEIOAQ · pith_short_8: XAAZNZ5Y

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/XAAZNZ5YBCAEIOAQXH6QES3GL7 \
  | 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: b80196e7b80880443810b9fd024b665ff8b201e45e8c2c4061faecceabfda090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cdf93a0af992472884ef175fe0ad4c994b5f1a96df681ba4a97e5f102e3f1d8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-18T15:11:11Z",
    "title_canon_sha256": "576a26526086cb92a74e693d9d80d8fed59062ec98d6cef30be8de2abaf54da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20342",
    "kind": "arxiv",
    "version": 1
  }
}