Pith Number

pith:GFBJ6FYA

pith:2013:GFBJ6FYAXDPRA7RFAS7CJ3NVIH

not attested not anchored not stored refs pending

Classical Light Beams and Geometric Phases

N. Mukunda, R. Simon, S. Chaturvedi

arxiv:1312.3987 v1 · 2013-12-14 · physics.optics · quant-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{GFBJ6FYAXDPRA7RFAS7CJ3NVIH}

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	2026-05-18T01:45:50.527420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31429f1700b8df107e2504be24edb541f7a018a884882ecf517f86e9cd06542a

Aliases

arxiv: 1312.3987 · arxiv_version: 1312.3987v1 · doi: 10.48550/arxiv.1312.3987 · pith_short_12: GFBJ6FYAXDPR · pith_short_16: GFBJ6FYAXDPRA7RF · pith_short_8: GFBJ6FYA

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/GFBJ6FYAXDPRA7RFAS7CJ3NVIH \
  | 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: 31429f1700b8df107e2504be24edb541f7a018a884882ecf517f86e9cd06542a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9bee9e3e77f270d5a45eda8f0117321d7fb93079a663705ea56cf6abbd4560",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-12-14T00:19:30Z",
    "title_canon_sha256": "785f5b479129b732750181b2e8aa89f04bd82308f8158d8f0dbb74fdcb14a756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3987",
    "kind": "arxiv",
    "version": 1
  }
}