Pith Number

pith:TXFK22GL

pith:2013:TXFK22GLNUXAQPTZ3ABCKRZUNH

not attested not anchored not stored refs pending

Partially coherent sources which produce the same far zone optical force as a laser beam

Juan Miguel Au\~non, Manuel Nieto-Vesperinas

arxiv:1305.2511 v1 · 2013-05-11 · 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{TXFK22GLNUXAQPTZ3ABCKRZUNH}

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	2026-05-18T01:17:21.026173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcaad68cb6d2e083e79d80225473469ea788573ae788529214f234b957d1cf5

Aliases

arxiv: 1305.2511 · arxiv_version: 1305.2511v1 · doi: 10.48550/arxiv.1305.2511 · pith_short_12: TXFK22GLNUXA · pith_short_16: TXFK22GLNUXAQPTZ · pith_short_8: TXFK22GL

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/TXFK22GLNUXAQPTZ3ABCKRZUNH \
  | 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: 9dcaad68cb6d2e083e79d80225473469ea788573ae788529214f234b957d1cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f210f9088084e99743e1a3e1b3daafab111d567cba433ba59b850cdf76fea686",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-05-11T14:38:16Z",
    "title_canon_sha256": "4c43c0d5bfc0b12be25e2bab90105256062cf5a7c089c92d038659a7b3a1350a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2511",
    "kind": "arxiv",
    "version": 1
  }
}