Pith Number

pith:Z27HDIGJ

pith:2014:Z27HDIGJ7B5OLXVXGEFIQK3OJG

not attested not anchored not stored refs pending

Regularity for the near field parallel refractor and reflector problems

Cristian E. Gutierrez, Federico Tournier

arxiv:1404.4011 v1 · 2014-04-15 · 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{Z27HDIGJ7B5OLXVXGEFIQK3OJG}

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	2026-05-18T02:54:13.150949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebe71a0c9f87ae5deb7310a882b6e49b9ca294e4f450a9074c255be861f946a

Aliases

arxiv: 1404.4011 · arxiv_version: 1404.4011v1 · doi: 10.48550/arxiv.1404.4011 · pith_short_12: Z27HDIGJ7B5O · pith_short_16: Z27HDIGJ7B5OLXVX · pith_short_8: Z27HDIGJ

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/Z27HDIGJ7B5OLXVXGEFIQK3OJG \
  | 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: cebe71a0c9f87ae5deb7310a882b6e49b9ca294e4f450a9074c255be861f946a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e84c825c2e217d2ed2ddf482acd0d472989f0309162a943a682a20deb2d2240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-15T18:28:13Z",
    "title_canon_sha256": "36881543838d4bf983f1658b6516ce75f263c48b51a202ed0e9efb071b4fe835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4011",
    "kind": "arxiv",
    "version": 1
  }
}