Pith Number

pith:NHROEUYQ

pith:2025:NHROEUYQRGURXTUGF6NHCOIOVK

not attested not anchored not stored refs pending

Spatio-temporal equilibrium thermodynamics of guided optical waves at positive and negative temperatures

Antonio Picozzi, Claire Michel, Iacopo Carusotto, Josselin Garnier, Lucas Zanaglia, Mario Ferraro, Stefan Wabnitz, Val\'erie Doya

arxiv:2512.07784 v2 · 2025-12-08 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHROEUYQRGURXTUGF6NHCOIOVK}

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	2026-07-02T01:17:26.098539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e2e2531089a91bce862f9a71390eaaac6e6834c1e546b06aca3a08b9c3dd2f

Aliases

arxiv: 2512.07784 · arxiv_version: 2512.07784v2 · doi: 10.48550/arxiv.2512.07784 · pith_short_12: NHROEUYQRGUR · pith_short_16: NHROEUYQRGURXTUG · pith_short_8: NHROEUYQ

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/NHROEUYQRGURXTUGF6NHCOIOVK \
  | 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: 69e2e2531089a91bce862f9a71390eaaac6e6834c1e546b06aca3a08b9c3dd2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "107bb697299516224a9ca75f494e26805ef44c8eed1ca6fa2bb03428225bae74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-12-08T18:12:42Z",
    "title_canon_sha256": "f23ffcd7b7ac0995c58f8685aa5706f169822dd5b6be1b31cdc2ccf5d009445d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07784",
    "kind": "arxiv",
    "version": 2
  }
}