Pith Number

pith:GRVCL7DH

pith:2012:GRVCL7DHFSQ7TCPI7WEFZHRKGK

not attested not anchored not stored refs pending

Matrix-valued Boltzmann Equation for the Hubbard Chain

Christian B. Mendl, Herbert Spohn, Martin L. R. F\"urst

arxiv:1207.6926 v2 · 2012-07-30 · math-ph · cond-mat.mes-hall · math.MP · physics.comp-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{GRVCL7DHFSQ7TCPI7WEFZHRKGK}

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	2026-05-18T03:45:21.655933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346a25fc672ca1f989e8fd885c9e2a329848c6dc3c2ef4efeb7dfb83f05bdb32

Aliases

arxiv: 1207.6926 · arxiv_version: 1207.6926v2 · doi: 10.48550/arxiv.1207.6926 · pith_short_12: GRVCL7DHFSQ7 · pith_short_16: GRVCL7DHFSQ7TCPI · pith_short_8: GRVCL7DH

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/GRVCL7DHFSQ7TCPI7WEFZHRKGK \
  | 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: 346a25fc672ca1f989e8fd885c9e2a329848c6dc3c2ef4efeb7dfb83f05bdb32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a32b971fba8bd9a587fe57b4657c207a0a42aa1b2f6fb17b60e6f7b465f540b",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-30T12:58:22Z",
    "title_canon_sha256": "fe79e422811d836db4f483b8b3690c3ee1c2de181e99b78bdfd8b68c0e195b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6926",
    "kind": "arxiv",
    "version": 2
  }
}