Pith Number

pith:M5ETL5NB

pith:2025:M5ETL5NBADS3GFBR2KO2ZCTG57

not attested not anchored not stored refs pending

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD

Cong Zhao, Long Chen

arxiv:2509.10786 v1 · 2025-09-13 · hep-ph · hep-lat · 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{M5ETL5NBADS3GFBR2KO2ZCTG57}

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	2026-07-05T12:11:27.984943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674935f5a100e5b31431d29dac8a66efd8cf81cbaa96a921d53338b29921f281

Aliases

arxiv: 2509.10786 · arxiv_version: 2509.10786v1 · doi: 10.48550/arxiv.2509.10786 · pith_short_12: M5ETL5NBADS3 · pith_short_16: M5ETL5NBADS3GFBR · pith_short_8: M5ETL5NB

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/M5ETL5NBADS3GFBR2KO2ZCTG57 \
  | 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: 674935f5a100e5b31431d29dac8a66efd8cf81cbaa96a921d53338b29921f281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b250951bd0d740e148fa5115568959186e6a7cb9e66037c3f4a0c101ef018b9",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-09-13T02:07:23Z",
    "title_canon_sha256": "0f59f9e7857ca009e0c5fc68f51381dc08f86f4b59b727138b112533f7f7e1e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10786",
    "kind": "arxiv",
    "version": 1
  }
}