Pith Number

pith:WYJXKQDD

pith:2023:WYJXKQDDXRXHK2WZRYXJYVIP6S

not attested not anchored not stored refs pending

Reflected entropy and Markov gap in Lifshitz theories

Bin Chen, Cl\'ement Berthiere, Hongjie Chen

arxiv:2307.12247 v2 · 2023-07-23 · hep-th · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYJXKQDDXRXHK2WZRYXJYVIP6S}

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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

Genuine multientropy, dihedral invariants and Lifshitz theory

Receipt and verification

First computed	2026-07-05T06:56:36.752397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b613754063bc6e756ad98e2e9c550ff486fd38d63884c45f8e917746a1a9b8c4

Aliases

arxiv: 2307.12247 · arxiv_version: 2307.12247v2 · doi: 10.48550/arxiv.2307.12247 · pith_short_12: WYJXKQDDXRXH · pith_short_16: WYJXKQDDXRXHK2WZ · pith_short_8: WYJXKQDD

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/WYJXKQDDXRXHK2WZRYXJYVIP6S \
  | 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: b613754063bc6e756ad98e2e9c550ff486fd38d63884c45f8e917746a1a9b8c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ee336eedc5e74e94cd3259aee2344b769a27772e26c0899b9f4838d5bed5e7",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-07-23T07:19:27Z",
    "title_canon_sha256": "db607f8d95c936f2aa91ecd7509eb0bf2ce980cca7c4a02a1c0d46e256a5f7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12247",
    "kind": "arxiv",
    "version": 2
  }
}