Pith Number

pith:ACDFE52V

pith:2020:ACDFE52VZWDEIP7WXCUZ3SOPLC

not attested not anchored not stored refs pending

Direct Observation of Thermalization to a Rayleigh-Jeans Distribution in Multimode Optical Fibers

Demetrios Christodoulides, Fan Wu, Frank Wise, Hamed Pourbeyram, Logan Wright, Nicholas Bender, Pavel Sidorenko

arxiv:2012.12110 v2 · 2020-12-22 · 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{ACDFE52VZWDEIP7WXCUZ3SOPLC}

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	2026-07-05T03:56:27.990005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0086527755cd86443ff6b8a99dc9cf589315ba3f4917d6c91212d04b6283847c

Aliases

arxiv: 2012.12110 · arxiv_version: 2012.12110v2 · doi: 10.48550/arxiv.2012.12110 · pith_short_12: ACDFE52VZWDE · pith_short_16: ACDFE52VZWDEIP7W · pith_short_8: ACDFE52V

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/ACDFE52VZWDEIP7WXCUZ3SOPLC \
  | 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: 0086527755cd86443ff6b8a99dc9cf589315ba3f4917d6c91212d04b6283847c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c31d8b63978dd913b191d06b034324d18259f5db4958d9b3e19847e01093c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-12-22T15:44:46Z",
    "title_canon_sha256": "01fcca0c3530405bd29f367f8ce694be6bde3f601aea1825d98c360a57e11dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.12110",
    "kind": "arxiv",
    "version": 2
  }
}