Pith Number

pith:JE56S7HV

pith:2005:JE56S7HVXESYAEICJY74PS5I3W

not attested not anchored not stored refs pending

Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions

Michaela Oswald, Robert D. Pisarski

arxiv:hep-ph/0512245 v2 · 2005-12-20 · 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{JE56S7HVXESYAEICJY74PS5I3W}

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	2026-07-04T16:55:56.272886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493be97cf5b9258011024e3fc7cba8ddb0c3f1c685599edcf32567630766eed1

Aliases

arxiv: hep-ph/0512245 · arxiv_version: hep-ph/0512245v2 · doi: 10.48550/arxiv.hep-ph/0512245 · pith_short_12: JE56S7HVXESY · pith_short_16: JE56S7HVXESYAEIC · pith_short_8: JE56S7HV

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/JE56S7HVXESYAEICJY74PS5I3W \
  | 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: 493be97cf5b9258011024e3fc7cba8ddb0c3f1c685599edcf32567630766eed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d426f4936e53a4150b1d35300deabd8d6915b66f89a81a82dc84fe169574d5d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-20T00:50:48Z",
    "title_canon_sha256": "69b87569370c17555be30fdaed07bfceb3b395c6b182286eec7dcf623e781c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512245",
    "kind": "arxiv",
    "version": 2
  }
}