Pith Number

pith:2GNC3RHU

pith:2026:2GNC3RHUECPSZSZPR4J3VWKH4B

not attested not anchored not stored refs pending

Modular Self-Duality, Symmetrized Relative Entropy, and Bogoliubov--Kubo--Mori Susceptibility in Quantum Field Theory

Rupak Chatterjee

arxiv:2605.19106 v1 · 2026-05-18 · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GNC3RHUECPSZSZPR4J3VWKH4B}

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	2026-05-20T01:05:27.347900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19a2dc4f4209f2ccb2f8f13bad947e05c15d09ffa53e77e7d150e3f628e27ca

Aliases

arxiv: 2605.19106 · arxiv_version: 2605.19106v1 · doi: 10.48550/arxiv.2605.19106 · pith_short_12: 2GNC3RHUECPS · pith_short_16: 2GNC3RHUECPSZSZP · pith_short_8: 2GNC3RHU

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/2GNC3RHUECPSZSZPR4J3VWKH4B \
  | 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: d19a2dc4f4209f2ccb2f8f13bad947e05c15d09ffa53e77e7d150e3f628e27ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5336552c670e14888e9967e981ca10532dfe8eb3e36991ef0fe2a63c18266458",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-18T20:48:03Z",
    "title_canon_sha256": "97d3b30e3b2160060b7ceb85dbbc6e93c88246124ba160ca24470fdfd7f3dc5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19106",
    "kind": "arxiv",
    "version": 1
  }
}