Pith Number

pith:AABYFDVE

pith:2017:AABYFDVEQ3W5QSOJFJ3UK7FTXF

not attested not anchored not stored refs pending

Quantum-mechanical description of optical beams

Iwo Bialynicki-Birula, Zofia Bialynicka-Birula

arxiv:1711.04680 v1 · 2017-11-13 · 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{AABYFDVEQ3W5QSOJFJ3UK7FTXF}

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	2026-05-18T00:29:18.037443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0003828ea486edd849c92a77457cb3b96950086033b710112ffce61965db3c5f

Aliases

arxiv: 1711.04680 · arxiv_version: 1711.04680v1 · doi: 10.48550/arxiv.1711.04680 · pith_short_12: AABYFDVEQ3W5 · pith_short_16: AABYFDVEQ3W5QSOJ · pith_short_8: AABYFDVE

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/AABYFDVEQ3W5QSOJFJ3UK7FTXF \
  | 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: 0003828ea486edd849c92a77457cb3b96950086033b710112ffce61965db3c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3100ec778bff41d4cc37350d24693c549cff37b18dcd58909bb715eb2619a07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-11-13T16:20:04Z",
    "title_canon_sha256": "e9c33cab3c51a0c1c347ee2f7cac51a1fdcf19cd5f8dd313053d2e2721609cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04680",
    "kind": "arxiv",
    "version": 1
  }
}