Pith Number

pith:AJZV75PT

pith:2016:AJZV75PTN4F5QS3UC27MMMFOOH

not attested not anchored not stored refs pending

$C^{1,\alpha}$ estimates for the parallel refractor

Cristian E. Gutierrez, Farhan Abedin, Giulio Tralli

arxiv:1603.06167 v1 · 2016-03-20 · 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{AJZV75PTN4F5QS3UC27MMMFOOH}

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	2026-05-18T01:18:50.124855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02735ff5f36f0bd84b7416bec630ae71eadb54442b69fc039bb9f711057c2717

Aliases

arxiv: 1603.06167 · arxiv_version: 1603.06167v1 · doi: 10.48550/arxiv.1603.06167 · pith_short_12: AJZV75PTN4F5 · pith_short_16: AJZV75PTN4F5QS3U · pith_short_8: AJZV75PT

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/AJZV75PTN4F5QS3UC27MMMFOOH \
  | 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: 02735ff5f36f0bd84b7416bec630ae71eadb54442b69fc039bb9f711057c2717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f343eedb89c770a38ee765257b6c3b8129b168d7b0b84d2a71b7b69a3316cd94",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-20T00:24:09Z",
    "title_canon_sha256": "e0a86c9483fddd9a6f8aa05730dd1bfe4645f4cc8bd08f40816856890f3a03a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06167",
    "kind": "arxiv",
    "version": 1
  }
}