Pith Number

pith:E2XABRWN

pith:2012:E2XABRWNKP3JZ2E4HSSTDEVYVS

not attested not anchored not stored refs pending

Functional Renormalization for Chiral and U_A(1) Symmetries at Finite Temperature

Pengfei Zhuang, Yin Jiang

arxiv:1209.0507 v1 · 2012-09-04 · 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{E2XABRWNKP3JZ2E4HSSTDEVYVS}

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	2026-05-18T01:54:47.739300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ae00c6cd53f69ce89c3ca53192b8acb93a117e0e8b82eacf87c4e4a8c9377d

Aliases

arxiv: 1209.0507 · arxiv_version: 1209.0507v1 · doi: 10.48550/arxiv.1209.0507 · pith_short_12: E2XABRWNKP3J · pith_short_16: E2XABRWNKP3JZ2E4 · pith_short_8: E2XABRWN

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/E2XABRWNKP3JZ2E4HSSTDEVYVS \
  | 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: 26ae00c6cd53f69ce89c3ca53192b8acb93a117e0e8b82eacf87c4e4a8c9377d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26cf27da23e7d94545859b526eded205d1a4119139fff03e23461db1f3cf877",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-04T01:22:11Z",
    "title_canon_sha256": "5dfd95723ef49ff9f1bad6e5fce88508c3ce6546734d95c49cddc6c03dadb420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0507",
    "kind": "arxiv",
    "version": 1
  }
}