Pith Number

pith:XJDLJRHN

pith:2016:XJDLJRHNS7WLNLI5O6V2U3T4ET

not attested not anchored not stored refs pending

Impurity models and products of random matrices

Alain Comtet, Yves Tourigny

arxiv:1601.01822 v1 · 2016-01-08 · 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{XJDLJRHNS7WLNLI5O6V2U3T4ET}

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	2026-05-18T01:23:11.260876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba46b4c4ed97ecb6ad1d77abaa6e7c24cf46ff3b42323d4ffaf20d3e3ca0dc07

Aliases

arxiv: 1601.01822 · arxiv_version: 1601.01822v1 · doi: 10.48550/arxiv.1601.01822 · pith_short_12: XJDLJRHNS7WL · pith_short_16: XJDLJRHNS7WLNLI5 · pith_short_8: XJDLJRHN

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/XJDLJRHNS7WLNLI5O6V2U3T4ET \
  | 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: ba46b4c4ed97ecb6ad1d77abaa6e7c24cf46ff3b42323d4ffaf20d3e3ca0dc07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98ed072700c4ce74f28710921ec1a93b19324c2bbf3ea6ea40a70ed3fe59083",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-08T10:41:25Z",
    "title_canon_sha256": "f5d68f14e9946e1b7ccb7aec817d13df6601adade9f69bf98a7354056f08b9b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01822",
    "kind": "arxiv",
    "version": 1
  }
}