Pith Number

pith:MGD2TEZD

pith:2014:MGD2TEZDZMHDNW56T5CBLTHRSL

not attested not anchored not stored refs pending

Making geometrical optics exact

T.G. Philbin

arxiv:1402.2811 v1 · 2014-02-12 · 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{MGD2TEZDZMHDNW56T5CBLTHRSL}

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	2026-05-18T01:44:44.953503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6187a99323cb0e36dbbe9f4415ccf192cc01d5c69d06b629a77ad13c31d45581

Aliases

arxiv: 1402.2811 · arxiv_version: 1402.2811v1 · doi: 10.48550/arxiv.1402.2811 · pith_short_12: MGD2TEZDZMHD · pith_short_16: MGD2TEZDZMHDNW56 · pith_short_8: MGD2TEZD

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/MGD2TEZDZMHDNW56T5CBLTHRSL \
  | 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: 6187a99323cb0e36dbbe9f4415ccf192cc01d5c69d06b629a77ad13c31d45581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaac57d9ee534a0ebb49118ac7612a3a33a21f548831770e59a4db4e2c30465d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-02-12T13:19:39Z",
    "title_canon_sha256": "113bc9e83e54abd4f5a9f90db3d884d2c9401b584d5f405206e8fd0e4e3079eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2811",
    "kind": "arxiv",
    "version": 1
  }
}