Pith Number

pith:6KLEL74Z

pith:2024:6KLEL74ZQ42PTPIAHHFHE4E7MN

not attested not anchored not stored refs pending

Spin polarization of fermions at local equilibrium: Second-order gradient expansion

Francesco Becattini, Xin-li Sheng, Xu-Guang Huang, Zhong-hua Zhang

arxiv:2407.12130 v2 · 2024-07-16 · hep-th · 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{6KLEL74ZQ42PTPIAHHFHE4E7MN}

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	2026-07-05T10:02:48.703045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29645ff998734f9bd0039ca72709f6344a772ecdf57195de2b368139fc6a323

Aliases

arxiv: 2407.12130 · arxiv_version: 2407.12130v2 · doi: 10.48550/arxiv.2407.12130 · pith_short_12: 6KLEL74ZQ42P · pith_short_16: 6KLEL74ZQ42PTPIA · pith_short_8: 6KLEL74Z

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/6KLEL74ZQ42PTPIAHHFHE4E7MN \
  | 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: f29645ff998734f9bd0039ca72709f6344a772ecdf57195de2b368139fc6a323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0860e3689bf3661711f887e92c143fd6f52d3f51e173352c0bbe6294153c4382",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-07-16T19:35:44Z",
    "title_canon_sha256": "b49ced9fea64b6444cdcfbb4e8ae0cf51f2eb79d792965d4b8965f8f5144b051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12130",
    "kind": "arxiv",
    "version": 2
  }
}