Pith Number

pith:C22JSAG4

pith:2016:C22JSAG4RJ2BN5VJ54WQQCAFIN

not attested not anchored not stored refs pending

On the Numerical Solution of the Far Field Refractor Problem

Cristian E. Guti\'errez, Henok Mawi, Roberto De Leo

arxiv:1603.01469 v1 · 2016-03-04 · math.NA · 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{C22JSAG4RJ2BN5VJ54WQQCAFIN}

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	2026-05-18T01:19:35.953009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b49900dc8a7416f6a9ef2d08080543468551f9e6a1b3dee0ce4a2ed78aec44

Aliases

arxiv: 1603.01469 · arxiv_version: 1603.01469v1 · doi: 10.48550/arxiv.1603.01469 · pith_short_12: C22JSAG4RJ2B · pith_short_16: C22JSAG4RJ2BN5VJ · pith_short_8: C22JSAG4

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/C22JSAG4RJ2BN5VJ54WQQCAFIN \
  | 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: 16b49900dc8a7416f6a9ef2d08080543468551f9e6a1b3dee0ce4a2ed78aec44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe25956679ea374afc6361ce63d4db92188dfc24e0179b4f04ca7d3e75a5c51",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-04T13:56:47Z",
    "title_canon_sha256": "68d1c120f4ab0a5ecdf2660fa25f2763f03aa81e1a2c607605de351c4a72dc1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01469",
    "kind": "arxiv",
    "version": 1
  }
}