Pith Number

pith:3M3OZDV2

pith:2012:3M3OZDV2PZRB4J7G7J3UVWWM4U

not attested not anchored not stored refs pending

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically

I. Y. Dodin, N. J. Fisch

arxiv:1203.5987 v3 · 2012-03-27 · physics.class-ph · math-ph · math.MP · physics.plasm-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3M3OZDV2PZRB4J7G7J3UVWWM4U}

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	2026-05-18T03:23:11.321062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db36ec8eba7e621e27e6fa774adacce52b089d77028e06c8a21bda1368ae6db2

Aliases

arxiv: 1203.5987 · arxiv_version: 1203.5987v3 · doi: 10.48550/arxiv.1203.5987 · pith_short_12: 3M3OZDV2PZRB · pith_short_16: 3M3OZDV2PZRB4J7G · pith_short_8: 3M3OZDV2

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/3M3OZDV2PZRB4J7G7J3UVWWM4U \
  | 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: db36ec8eba7e621e27e6fa774adacce52b089d77028e06c8a21bda1368ae6db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12c3d068acfb68ab3330d3493055218e9526ba0c0e903f2bad43c6a8b93c0d0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2012-03-27T14:52:29Z",
    "title_canon_sha256": "dc38075119966387665c6565e8d8dbabe5fcf07965938852a897cb5d824c8738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5987",
    "kind": "arxiv",
    "version": 3
  }
}