Pith Number

pith:5RFNXGFX

pith:2010:5RFNXGFXMIG6LRNYP2DTR6PFGG

not attested not anchored not stored refs pending

Spin kinetic theory - quantum kinetic theory in extended phase space

G. Brodin, J. Zamanian, M. Marklund

arxiv:1002.0426 v1 · 2010-02-02 · quant-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{5RFNXGFXMIG6LRNYP2DTR6PFGG}

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	2026-05-18T02:09:21.083532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4adb98b7620de5c5b87e8738f9e5318228f2959c305f8171b2e3a6a791396f

Aliases

arxiv: 1002.0426 · arxiv_version: 1002.0426v1 · doi: 10.48550/arxiv.1002.0426 · pith_short_12: 5RFNXGFXMIG6 · pith_short_16: 5RFNXGFXMIG6LRNY · pith_short_8: 5RFNXGFX

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/5RFNXGFXMIG6LRNYP2DTR6PFGG \
  | 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: ec4adb98b7620de5c5b87e8738f9e5318228f2959c305f8171b2e3a6a791396f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ff7654d9865f42a6656e87fa6e3236d2b18a28bb39bd02d4938488fc34bc61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-02T09:03:52Z",
    "title_canon_sha256": "e3e0c5dea19bbd1023ef19f34af6a96e35968292c90d11605804c4fb8453c0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0426",
    "kind": "arxiv",
    "version": 1
  }
}