Pith Number

pith:QJPVO33Y

pith:2019:QJPVO33YU24PFCGRN2V2LVPBOB

not attested not anchored not stored refs pending

Reflection of a Point Object in an Arbitrary Curved Mirror

Shikhar Mittal

arxiv:1903.01074 v1 · 2019-03-04 · 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{QJPVO33YU24PFCGRN2V2LVPBOB}

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	2026-05-17T23:52:12.387250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825f576f78a6b8f288d16eaba5d5e1707a83ce3b4d1c2f00bff7261a4dbc3ad8

Aliases

arxiv: 1903.01074 · arxiv_version: 1903.01074v1 · doi: 10.48550/arxiv.1903.01074 · pith_short_12: QJPVO33YU24P · pith_short_16: QJPVO33YU24PFCGR · pith_short_8: QJPVO33Y

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/QJPVO33YU24PFCGRN2V2LVPBOB \
  | 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: 825f576f78a6b8f288d16eaba5d5e1707a83ce3b4d1c2f00bff7261a4dbc3ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9dd8b2bb0b8591f009eabb41fc91319a9895e21649e42514486e536020376b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-03-04T05:14:32Z",
    "title_canon_sha256": "8a9462c248a4c62d298297b082276d2a442d48355e2a24175a617b053d8a771a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01074",
    "kind": "arxiv",
    "version": 1
  }
}