Pith Number

pith:26AIUG45

pith:2017:26AIUG45RSYTKRZ56UIL5DIJ7E

not attested not anchored not stored refs pending

Entropy theory for the parametrization of the equilibrium states of Pimsner algebras

Evgenios T.A. Kakariadis

arxiv:1712.08795 v5 · 2017-12-23 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26AIUG45RSYTKRZ56UIL5DIJ7E}

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	2026-05-17T23:52:55.832097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7808a1b9d8cb135473df510be8d09f91017b82e8021abe61e82b3a0c558ea58

Aliases

arxiv: 1712.08795 · arxiv_version: 1712.08795v5 · doi: 10.48550/arxiv.1712.08795 · pith_short_12: 26AIUG45RSYT · pith_short_16: 26AIUG45RSYTKRZ5 · pith_short_8: 26AIUG45

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/26AIUG45RSYTKRZ56UIL5DIJ7E \
  | 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: d7808a1b9d8cb135473df510be8d09f91017b82e8021abe61e82b3a0c558ea58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8650818ba00c34db52567031c3f1933121fdd3f32c770676a29fbb54e4d45ee3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-12-23T15:59:34Z",
    "title_canon_sha256": "b8616431c9152cb63d7657ae1eaf8786be7f89bf4d035d06cbe921a94fb606f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08795",
    "kind": "arxiv",
    "version": 5
  }
}