Pith Number

pith:F4YO2G3W

pith:2011:F4YO2G3WNO2EWHQ2PRNQ7TH7TN

not attested not anchored not stored refs pending

A semiclassical optics derivation of Einstein's rate equations

Eugenio Rold\'an, Germ\'an J. de Valc\'arcel, Robert Hoeppner

arxiv:1105.4120 v5 · 2011-05-20 · 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{F4YO2G3WNO2EWHQ2PRNQ7TH7TN}

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	2026-05-18T03:14:50.451404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f30ed1b766bb44b1e1a7c5b0fccff9b4871248e0b5eac8b2e981998d1514a64

Aliases

arxiv: 1105.4120 · arxiv_version: 1105.4120v5 · doi: 10.48550/arxiv.1105.4120 · pith_short_12: F4YO2G3WNO2E · pith_short_16: F4YO2G3WNO2EWHQ2 · pith_short_8: F4YO2G3W

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/F4YO2G3WNO2EWHQ2PRNQ7TH7TN \
  | 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: 2f30ed1b766bb44b1e1a7c5b0fccff9b4871248e0b5eac8b2e981998d1514a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d28d0d270c8677f1eb5a120498cdcf11acdd41586d6b32a38a6c6e6ca973dd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-05-20T15:56:10Z",
    "title_canon_sha256": "d201fac8a558b372054c9aea2e21b6be0840ce999c06cf4790a04ec7eb6723df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4120",
    "kind": "arxiv",
    "version": 5
  }
}