Pith Number

pith:4NG2MERU

pith:2013:4NG2MERUH3OFQE2B7H4SBKEW7R

not attested not anchored not stored refs pending

Derivation of a Matrix-valued Boltzmann Equation for the Hubbard Model

Herbert Spohn, Jani Lukkarinen, Martin L.R. F\"urst, Peng Mei

arxiv:1306.0934 v2 · 2013-06-04 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NG2MERUH3OFQE2B7H4SBKEW7R}

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	2026-05-18T01:49:32.849375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34da612343edc581341f9f920a896fc7132854aace3db14629c1a7f291cd469

Aliases

arxiv: 1306.0934 · arxiv_version: 1306.0934v2 · doi: 10.48550/arxiv.1306.0934 · pith_short_12: 4NG2MERUH3OF · pith_short_16: 4NG2MERUH3OFQE2B · pith_short_8: 4NG2MERU

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/4NG2MERUH3OFQE2B7H4SBKEW7R \
  | 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: e34da612343edc581341f9f920a896fc7132854aace3db14629c1a7f291cd469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ed4c2e46656d943b7eac3e07e4387b8ed750b478f5e61af4430379bd911524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-06-04T22:06:08Z",
    "title_canon_sha256": "c9ee7df3159bffef0c0dfa619f2983af81d86e1093e5a4249fd8b70051a4d9bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0934",
    "kind": "arxiv",
    "version": 2
  }
}