Pith Number

pith:LGTMNZ5R

pith:2020:LGTMNZ5R24ZLAGUKQFEFYHSPPV

not attested not anchored not stored refs pending

Gibbs states, algebraic dynamics and generalized Riesz systems

Camillo TRapani, Fabio Bagarello, Hiroshi Inoue

arxiv:2009.02950 v1 · 2020-09-07 · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGTMNZ5R24ZLAGUKQFEFYHSPPV}

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.

Cited by

1 paper in Pith

Kubo-Martin-Schwinger conditions for non-Hermitian systems

Receipt and verification

First computed	2026-07-05T01:33:27.504573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a6c6e7b1d732b01a8a81485c1e4f7d78829f2be51bd68bc0e8ddf1ba1e8a6e

Aliases

arxiv: 2009.02950 · arxiv_version: 2009.02950v1 · doi: 10.48550/arxiv.2009.02950 · pith_short_12: LGTMNZ5R24ZL · pith_short_16: LGTMNZ5R24ZLAGUK · pith_short_8: LGTMNZ5R

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/LGTMNZ5R24ZLAGUKQFEFYHSPPV \
  | 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: 59a6c6e7b1d732b01a8a81485c1e4f7d78829f2be51bd68bc0e8ddf1ba1e8a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f28b1ecb93c511e65ae2d18472c790682636f8f267720321b2cc81a40c5f356",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-09-07T08:58:55Z",
    "title_canon_sha256": "f93fa01add50e2ace0f682cc4bed774af75b6e1b23271bf5db004983dff5aef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.02950",
    "kind": "arxiv",
    "version": 1
  }
}