Pith Number

pith:CUIRCU4T

pith:2001:CUIRCU4TF5WVLEUBBET6A3Q7RQ

not attested not anchored not stored refs pending

Hydrodynamic scaling from the dynamics of relativistic quantum field theory

Fred Cooper, Karen Pao, Luis M. A. Bettencourt

arxiv:hep-ph/0109108 v2 · 2001-09-12 · hep-ph · hep-lat · nlin.PS · 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{CUIRCU4TF5WVLEUBBET6A3Q7RQ}

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

Quantum-Corrected Q-balls in the Friedberg-Lee-Sirlin Model

Receipt and verification

First computed	2026-07-04T16:27:29.244321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15111153932f6d5592810927e06e1f8c1fcc6322a6a426163c9ac775ad48bbe9

Aliases

arxiv: hep-ph/0109108 · arxiv_version: hep-ph/0109108v2 · doi: 10.48550/arxiv.hep-ph/0109108 · pith_short_12: CUIRCU4TF5WV · pith_short_16: CUIRCU4TF5WVLEUB · pith_short_8: CUIRCU4T

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/CUIRCU4TF5WVLEUBBET6A3Q7RQ \
  | 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: 15111153932f6d5592810927e06e1f8c1fcc6322a6a426163c9ac775ad48bbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84cd7868c53988acec1b9c9f9f9fa337e6729b6092c833c62a81ef19d77075e2",
    "cross_cats_sorted": [
      "hep-lat",
      "nlin.PS",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-09-12T22:36:46Z",
    "title_canon_sha256": "2c4f2a0fbd68ca896caeca70c3fb0a77e6d6965858a5b3c8d9e829a1430738dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0109108",
    "kind": "arxiv",
    "version": 2
  }
}