Pith Number

pith:THKIC3KU

pith:2018:THKIC3KUABAQPO2WEUUHOJPIAQ

not attested not anchored not stored refs pending

Spatial bunching of same-charge polarization singularities in two-dimensional random vector waves

F. Alpeggiani, L. De Angelis, L. Kuipers

arxiv:1807.01036 v1 · 2018-07-03 · 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{THKIC3KUABAQPO2WEUUHOJPIAQ}

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	2026-05-18T00:02:33.966255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99d4816d54004107bb5625287725e80428c076cd33bce8e6b7e6ef940035fda4

Aliases

arxiv: 1807.01036 · arxiv_version: 1807.01036v1 · doi: 10.48550/arxiv.1807.01036 · pith_short_12: THKIC3KUABAQ · pith_short_16: THKIC3KUABAQPO2W · pith_short_8: THKIC3KU

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/THKIC3KUABAQPO2WEUUHOJPIAQ \
  | 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: 99d4816d54004107bb5625287725e80428c076cd33bce8e6b7e6ef940035fda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e00ff9ac2d96e2de1f10d9ce45a79b29522dab449717347e57c354213ed43c1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-07-03T09:12:32Z",
    "title_canon_sha256": "62e95c3e0b66386f0718181a34298e99e3e7aa3c7b14986ad63a60e34553a4c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01036",
    "kind": "arxiv",
    "version": 1
  }
}