Pith. sign in
Pith Number

pith:YZEMZWGF

pith:1999:YZEMZWGFIVSXG2FRMSDEPYL4ZW
not attested not anchored not stored refs pending

Parton Degrees of Freedom from the Path-Integral Formalism

Keh-Fei Liu

arxiv:hep-ph/9910306 v3 · 1999-10-12 · hep-ph · hep-lat · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YZEMZWGFIVSXG2FRMSDEPYL4ZW}

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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

Receipt and verification
First computed 2026-07-04T16:14:31.167493Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c648ccd8c545657368b1648647e17ccda479aa0720deb5345abfd5151de6366d

Aliases

arxiv: hep-ph/9910306 · arxiv_version: hep-ph/9910306v3 · doi: 10.48550/arxiv.hep-ph/9910306 · pith_short_12: YZEMZWGFIVSX · pith_short_16: YZEMZWGFIVSXG2FR · pith_short_8: YZEMZWGF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YZEMZWGFIVSXG2FRMSDEPYL4ZW \
  | 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: c648ccd8c545657368b1648647e17ccda479aa0720deb5345abfd5151de6366d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "96784ffa4547dccd2d4d52525000bf42db53a75641be916f0b397aff752833d3",
    "cross_cats_sorted": [
      "hep-lat",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-12T06:41:13Z",
    "title_canon_sha256": "dcc4ca4b33925bf4115723d9aede1094233fac36bec0239cbf9a1c134c45583d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910306",
    "kind": "arxiv",
    "version": 3
  }
}