Pith Number

pith:T2XPNGC7

pith:2012:T2XPNGC75I2UDOPSIFWD35T4DN

not attested not anchored not stored refs pending

All linear optical devices are mode converters

David A. B. Miller

arxiv:1209.4931 v1 · 2012-09-21 · 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{T2XPNGC75I2UDOPSIFWD35T4DN}

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	2026-05-18T01:54:19.964374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eaef6985fea3541b9f2416c3df67c1b7d0296ef1d4744a41ea687b111bf0950

Aliases

arxiv: 1209.4931 · arxiv_version: 1209.4931v1 · doi: 10.48550/arxiv.1209.4931 · pith_short_12: T2XPNGC75I2U · pith_short_16: T2XPNGC75I2UDOPS · pith_short_8: T2XPNGC7

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/T2XPNGC75I2UDOPSIFWD35T4DN \
  | 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: 9eaef6985fea3541b9f2416c3df67c1b7d0296ef1d4744a41ea687b111bf0950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9b9dac393b226d5d18ce2c8c3db2999c4fad58c4459cf59069d9bad13a6734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-09-21T22:49:07Z",
    "title_canon_sha256": "d216e6f0f0fe5f938bec930f9d4cae47712ab44a2fc177d8b06629203b55da2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4931",
    "kind": "arxiv",
    "version": 1
  }
}