Pith Number

pith:PA2PG2F2

pith:2015:PA2PG2F26XHTGOL7NXZ24ACTFI

not attested not anchored not stored refs pending

Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: I. Kinetic equation and anomalous Hall and spin-Hall effects

K. Morawetz

arxiv:1512.01660 v1 · 2015-12-05 · cond-mat.str-el · cond-mat.mes-hall · math-ph · math.MP · nucl-th · physics.plasm-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{PA2PG2F26XHTGOL7NXZ24ACTFI}

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	2026-05-18T01:23:53.841406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7834f368baf5cf33397f6df3ae00532a0df35c37b8f91b99d3a1e5a8f8171dd2

Aliases

arxiv: 1512.01660 · arxiv_version: 1512.01660v1 · doi: 10.48550/arxiv.1512.01660 · pith_short_12: PA2PG2F26XHT · pith_short_16: PA2PG2F26XHTGOL7 · pith_short_8: PA2PG2F2

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/PA2PG2F26XHTGOL7NXZ24ACTFI \
  | 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: 7834f368baf5cf33397f6df3ae00532a0df35c37b8f91b99d3a1e5a8f8171dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5dec1edbe3261cf60e5f8f6720689e8aea9f7c92a89b579399dfb5e963ecae",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP",
      "nucl-th",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-12-05T12:53:22Z",
    "title_canon_sha256": "5c6c7039155866f3b6bc501aad80280248f6e77f1aa9aa591cb4af2b92091dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01660",
    "kind": "arxiv",
    "version": 1
  }
}