Pith Number

pith:4N25BPQZ

pith:2012:4N25BPQZU2A2D6XO3GTA5VRUNC

not attested not anchored not stored refs pending

Spatial Coherence and Optical Beam Shifts

Andrea Aiello, J. P. Woerdman, W. L\"offler

arxiv:1207.4364 v1 · 2012-07-18 · 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{4N25BPQZU2A2D6XO3GTA5VRUNC}

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	2026-05-18T03:40:13.990229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e375d0be19a681a1faeed9a60ed63468b34ed03d661db2a42b19937c11c1356c

Aliases

arxiv: 1207.4364 · arxiv_version: 1207.4364v1 · doi: 10.48550/arxiv.1207.4364 · pith_short_12: 4N25BPQZU2A2 · pith_short_16: 4N25BPQZU2A2D6XO · pith_short_8: 4N25BPQZ

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/4N25BPQZU2A2D6XO3GTA5VRUNC \
  | 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: e375d0be19a681a1faeed9a60ed63468b34ed03d661db2a42b19937c11c1356c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7d708ef34d71c5ea4ea17cc25bb1f4d177396ed473f0b3d726126570036d2e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-07-18T12:48:35Z",
    "title_canon_sha256": "2bd9ae3cb889aa02c200aa75421b2db48afb628ee327a5fb0f5a73d19fc4a909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4364",
    "kind": "arxiv",
    "version": 1
  }
}