Pith Number

pith:GIQG4OWG

pith:2003:GIQG4OWG6KY35A34EDKTMJEPM3

not attested not anchored not stored refs pending

On Effective Degrees of Freedom at Chiral Restoration and the Vector Manifestation

Mannque Rho

arxiv:hep-ph/0303136 v2 · 2003-03-17 · hep-ph · nucl-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{GIQG4OWG6KY35A34EDKTMJEPM3}

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	2026-05-18T00:37:11.951596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32206e3ac6f2b1be837c20d536248f66c5e80229443ae5f55656f562e5d027bf

Aliases

arxiv: hep-ph/0303136 · arxiv_version: hep-ph/0303136v2 · doi: 10.48550/arxiv.hep-ph/0303136 · pith_short_12: GIQG4OWG6KY3 · pith_short_16: GIQG4OWG6KY35A34 · pith_short_8: GIQG4OWG

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/GIQG4OWG6KY35A34EDKTMJEPM3 \
  | 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: 32206e3ac6f2b1be837c20d536248f66c5e80229443ae5f55656f562e5d027bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b05fe56c41ead40dd86a81ffa228dff4b2e75f66657e099b9d45a1c92b319b2",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-03-17T12:10:52Z",
    "title_canon_sha256": "17b7313c7afd01cf6ff303f469f76bd32de7eefc4e96509b86f8980632c467d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0303136",
    "kind": "arxiv",
    "version": 2
  }
}