Pith Number

pith:RWEVNNXE

pith:2014:RWEVNNXEXWX7U5MNM2KYH2NQCH

not attested not anchored not stored refs pending

Characterisation of matrix entropies

Frank Hansen, Zhihua Zhang

arxiv:1402.2118 v3 · 2014-02-10 · 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{RWEVNNXEXWX7U5MNM2KYH2NQCH}

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	2026-05-18T01:32:10.947607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d8956b6e4bdaffa758d669583e9b011d1acc2efe8957331cdaba6506a68c1fd

Aliases

arxiv: 1402.2118 · arxiv_version: 1402.2118v3 · doi: 10.48550/arxiv.1402.2118 · pith_short_12: RWEVNNXEXWX7 · pith_short_16: RWEVNNXEXWX7U5MN · pith_short_8: RWEVNNXE

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/RWEVNNXEXWX7U5MNM2KYH2NQCH \
  | 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: 8d8956b6e4bdaffa758d669583e9b011d1acc2efe8957331cdaba6506a68c1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e51b06ccaaa0ca4658f5a6a9120d188abba31f7bc96142dc521d92853357bb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-02-10T11:45:33Z",
    "title_canon_sha256": "f3b48cab2b6cbadbc161142d041fda34860b5594663bd39db69d9444866ad060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2118",
    "kind": "arxiv",
    "version": 3
  }
}