Pith Number

pith:343SYDZY

pith:2013:343SYDZYJFSITNIZ6VQQ73CUL3

not attested not anchored not stored refs pending

A Generalization of Fermat's Principle for Classical and Quantum Systems

Tarek A. Elsayed

arxiv:1302.7185 v4 · 2013-02-28 · 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{343SYDZYJFSITNIZ6VQQ73CUL3}

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	2026-05-18T02:40:18.825189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df372c0f38496489b519f5610fec545ed2633c05a72fd668137ac5db0bd94558

Aliases

arxiv: 1302.7185 · arxiv_version: 1302.7185v4 · doi: 10.48550/arxiv.1302.7185 · pith_short_12: 343SYDZYJFSI · pith_short_16: 343SYDZYJFSITNIZ · pith_short_8: 343SYDZY

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/343SYDZYJFSITNIZ6VQQ73CUL3 \
  | 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: df372c0f38496489b519f5610fec545ed2633c05a72fd668137ac5db0bd94558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e840f918daee93d7dcd4c4d3605c7479533633b5fa219884252d2bc1bca56ed9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-28T13:09:41Z",
    "title_canon_sha256": "5a1ac9f8048b28e28f4bb0eb8d525a18d034a124c0a0288b4da28cf51834537b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7185",
    "kind": "arxiv",
    "version": 4
  }
}