Pith Number

pith:432DKT5T

pith:2009:432DKT5TSFJT2XGIEHQ5BWSTHS

not attested not anchored not stored refs pending

Divergence of the logarithm of a unimodular monodromy matrix near the edges of the Brillouin zone

A. A. Kutsenko, A. L. Shuvalov, Andrew N. Norris

arxiv:0911.2029 v1 · 2009-11-10 · cond-mat.mtrl-sci · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{432DKT5TSFJT2XGIEHQ5BWSTHS}

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	2026-05-18T04:30:04.670677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f4354fb391533d5cc821e1d0da533ca8534dd0a6d6f006bf8b28fc144fed71

Aliases

arxiv: 0911.2029 · arxiv_version: 0911.2029v1 · doi: 10.48550/arxiv.0911.2029 · pith_short_12: 432DKT5TSFJT · pith_short_16: 432DKT5TSFJT2XGI · pith_short_8: 432DKT5T

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/432DKT5TSFJT2XGIEHQ5BWSTHS \
  | 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: e6f4354fb391533d5cc821e1d0da533ca8534dd0a6d6f006bf8b28fc144fed71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7e1c2d9b3d4480b1e8836f157bcdba829144702d779ad66224e1c36d5a7fb6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2009-11-10T23:44:24Z",
    "title_canon_sha256": "262cb2c5f903427cd3e84ec67bdef23b2e5ae44ee47b2ef33fa9c06a541b33ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2029",
    "kind": "arxiv",
    "version": 1
  }
}