Pith Number

pith:YEJ2XD32

pith:2019:YEJ2XD32FPSUI5AXEL4EMVMRHP

not attested not anchored not stored refs pending

On the Numerical Solution of the Near Field Refractor Problem

Cristian E. Guti\'errez, Henok Mawi

arxiv:1904.10811 v2 · 2019-04-24 · math.NA · math.AP · 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{YEJ2XD32FPSUI5AXEL4EMVMRHP}

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	2026-05-17T23:47:48.035265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c113ab8f7a2be544741722f84655913bfb43f8a7bcb7b5af68f796599c7fbbde

Aliases

arxiv: 1904.10811 · arxiv_version: 1904.10811v2 · doi: 10.48550/arxiv.1904.10811 · pith_short_12: YEJ2XD32FPSU · pith_short_16: YEJ2XD32FPSUI5AX · pith_short_8: YEJ2XD32

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/YEJ2XD32FPSUI5AXEL4EMVMRHP \
  | 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: c113ab8f7a2be544741722f84655913bfb43f8a7bcb7b5af68f796599c7fbbde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f066f3b3aefe4fff2b6e4360a6d404aeca3830fa4685110d9420edee056caf74",
    "cross_cats_sorted": [
      "math.AP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-04-24T13:37:18Z",
    "title_canon_sha256": "15d44a932719f1b99877b245965f9f69a985b974a5534013ce8dd1997cde934b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10811",
    "kind": "arxiv",
    "version": 2
  }
}