Pith Number

pith:WHZUJIQT

pith:2017:WHZUJIQTPCNKU3WCJGBBEBJ62L

not attested not anchored not stored refs pending

General Refraction Problems with Phase Discontinuity

Cristian E. Gutierrez, Eric Stachura, Luca Pallucchini

arxiv:1703.06014 v1 · 2017-03-17 · physics.optics · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHZUJIQTPCNKU3WCJGBBEBJ62L}

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	2026-05-18T00:48:29.710018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f344a213789aaa6ec2498212053ed2cf00302f53f6f3c9599e42970b72a0f9

Aliases

arxiv: 1703.06014 · arxiv_version: 1703.06014v1 · doi: 10.48550/arxiv.1703.06014 · pith_short_12: WHZUJIQTPCNK · pith_short_16: WHZUJIQTPCNKU3WC · pith_short_8: WHZUJIQT

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/WHZUJIQTPCNKU3WCJGBBEBJ62L \
  | 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: b1f344a213789aaa6ec2498212053ed2cf00302f53f6f3c9599e42970b72a0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36a9068c9e83885b6356fe7bd6c654882f02eaa9eb58db117fb0d6407ee4784e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-03-17T13:52:59Z",
    "title_canon_sha256": "96a0e5d1cba5819a3527ac0e3b5873bb97a2447dec1ca8f486443a9fd511e784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06014",
    "kind": "arxiv",
    "version": 1
  }
}