Pith Number

pith:HDQUJ56E

pith:2015:HDQUJ56EE7SCDETWRRWXM2AGE7

not attested not anchored not stored refs pending

Determinants and traces of multidimensional discrete periodic operators with defects

Anton A. Kutsenko

arxiv:1510.05906 v2 · 2015-10-20 · 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{HDQUJ56EE7SCDETWRRWXM2AGE7}

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	2026-05-18T01:29:20.298666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38e144f7c427e42192768c6d76680627c9669497497db03c11bd08180eb29ceb

Aliases

arxiv: 1510.05906 · arxiv_version: 1510.05906v2 · doi: 10.48550/arxiv.1510.05906 · pith_short_12: HDQUJ56EE7SC · pith_short_16: HDQUJ56EE7SCDETW · pith_short_8: HDQUJ56E

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/HDQUJ56EE7SCDETWRRWXM2AGE7 \
  | 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: 38e144f7c427e42192768c6d76680627c9669497497db03c11bd08180eb29ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf24e037f29c0c88e130f3534761759df19ff306a2c6225f845fd976a1468c95",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-20T14:17:55Z",
    "title_canon_sha256": "f19a1e645f6c4a770c4133374b823914fb75020a0974a6843fc4a6209a30ffaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05906",
    "kind": "arxiv",
    "version": 2
  }
}