Pith Number

pith:PX4FL2CR

pith:2000:PX4FL2CRLTTP3BF4SNNQ4WHXPG

not attested not anchored not stored refs pending

Hard Loop Approach to Anisotropic Systems

Markus H. Thoma, Stanislaw Mrowczynski

arxiv:hep-ph/0001164 v2 · 2000-01-17 · 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{PX4FL2CRLTTP3BF4SNNQ4WHXPG}

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

Collective phenomena in chirally imbalanced medium

Receipt and verification

First computed	2026-07-04T15:27:19.530727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df855e8515ce6fd84bc935b0e58f7798b145604040e8a5d86faaabae2d9bf11

Aliases

arxiv: hep-ph/0001164 · arxiv_version: hep-ph/0001164v2 · doi: 10.48550/arxiv.hep-ph/0001164 · pith_short_12: PX4FL2CRLTTP · pith_short_16: PX4FL2CRLTTP3BF4 · pith_short_8: PX4FL2CR

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/PX4FL2CRLTTP3BF4SNNQ4WHXPG \
  | 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: 7df855e8515ce6fd84bc935b0e58f7798b145604040e8a5d86faaabae2d9bf11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6661039738138894a782db197e3fd000cb9856e77a632878c9bcfabc2bd8335e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-01-17T14:58:01Z",
    "title_canon_sha256": "c8b77b1727bc2c0f66cfc1e4bdbfad04940450264a55df21b4bd16f25aae051e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0001164",
    "kind": "arxiv",
    "version": 2
  }
}