Pith Number

pith:3SPP7CKR

pith:2019:3SPP7CKR5ERLXJZ4O7JKICXPQ4

not attested not anchored not stored refs pending

Thermodynamic conditions governing the optical temperature and chemical potential in nonlinear highly multimoded photonic systems

Demetrios N. Christodoulides, Fan O. Wu, Konstantinos Makris, Midya Parto, Pawel S. Jung

arxiv:1908.01708 v1 · 2019-08-05 · 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{3SPP7CKR5ERLXJZ4O7JKICXPQ4}

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	2026-07-04T23:51:32.818875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9eff8951e922bba73c77d2a40aef873fffa9c75e2d7a7cbe854e094f1f6298

Aliases

arxiv: 1908.01708 · arxiv_version: 1908.01708v1 · doi: 10.48550/arxiv.1908.01708 · pith_short_12: 3SPP7CKR5ERL · pith_short_16: 3SPP7CKR5ERLXJZ4 · pith_short_8: 3SPP7CKR

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/3SPP7CKR5ERLXJZ4O7JKICXPQ4 \
  | 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: dc9eff8951e922bba73c77d2a40aef873fffa9c75e2d7a7cbe854e094f1f6298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f73490a85c3c0847ee78873b0ea0b7d7cd1130852a366dbd401cc473c30f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-08-05T16:11:23Z",
    "title_canon_sha256": "430a08100fccc91d52a2f3b997f22d098a439b7ebd829aa0c4d8da9ee8396b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01708",
    "kind": "arxiv",
    "version": 1
  }
}