Pith Number

pith:EMN4QDU7

pith:2000:EMN4QDU76BY3GUEDEHZA3S6OZM

not attested not anchored not stored refs pending

Conformal Phase Transition, beta-Function, and Infrared Dynamics in QCD

V. A. Miransky

arxiv:hep-ph/0003137 v2 · 2000-03-14 · 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{EMN4QDU76BY3GUEDEHZA3S6OZM}

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.

Cited by

1 paper in Pith

Conformal Invariance and Phase Transitions: Implications for Stable Black Hole Horizons?

Receipt and verification

First computed	2026-07-04T14:27:30.834600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

231bc80e9ff071b3508321f20dcbcecb0c45929142d375d5a793af36028b8381

Aliases

arxiv: hep-ph/0003137 · arxiv_version: hep-ph/0003137v2 · doi: 10.48550/arxiv.hep-ph/0003137 · pith_short_12: EMN4QDU76BY3 · pith_short_16: EMN4QDU76BY3GUED · pith_short_8: EMN4QDU7

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/EMN4QDU76BY3GUEDEHZA3S6OZM \
  | 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: 231bc80e9ff071b3508321f20dcbcecb0c45929142d375d5a793af36028b8381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5e5b17611e67ae0de59cfb212e75795c2f3077ee824286772626d319434fa7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-03-14T23:01:57Z",
    "title_canon_sha256": "c4402991afc4e99dc5da8964d4d1bbc41291620045f8a3f250eb69931c0d00a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0003137",
    "kind": "arxiv",
    "version": 2
  }
}