Pith Number

pith:YCAO2GXP

pith:2021:YCAO2GXPQRICWOYFJHFNXFXUYO

not attested not anchored not stored refs pending

Spin Polarization Formula for Dirac Fermions at Local Equilibrium

Xu-Guang Huang, Yu-Chen Liu

arxiv:2109.15301 v3 · 2021-09-30 · nucl-th · hep-ph · nucl-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCAO2GXPQRICWOYFJHFNXFXUYO}

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

Pseudo-Gauge Stabilizers and Fibration Structure of the Cooper--Frye Map at Freeze-Out

Receipt and verification

First computed	2026-07-05T04:28:41.211695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c080ed1aef84502b3b0549cadb96f4c38eaf373932c96b42fe81acc3304954c1

Aliases

arxiv: 2109.15301 · arxiv_version: 2109.15301v3 · doi: 10.48550/arxiv.2109.15301 · pith_short_12: YCAO2GXPQRIC · pith_short_16: YCAO2GXPQRICWOYF · pith_short_8: YCAO2GXP

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/YCAO2GXPQRICWOYFJHFNXFXUYO \
  | 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: c080ed1aef84502b3b0549cadb96f4c38eaf373932c96b42fe81acc3304954c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b910e8fd4c2fc2a5b65fc9aca20b4c85ef644f30ae88892ca0c0aec1143c0ea3",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-ex"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2021-09-30T17:47:22Z",
    "title_canon_sha256": "4f78374c2be52a52296108858412756490f1bfd02e16a4d4cea406f2abd4161e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.15301",
    "kind": "arxiv",
    "version": 3
  }
}