Pith Number

pith:SHM3OKVW

pith:2013:SHM3OKVWVNFNDOOW55ZJCIT4JY

not attested not anchored not stored refs pending

Relation between the autocorrelation and Wigner functions

Demetrios N. Christodoulides, H\'ector Manuel Moya-Cessa

arxiv:1309.2272 v1 · 2013-09-09 · 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{SHM3OKVWVNFNDOOW55ZJCIT4JY}

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	2026-05-18T01:23:45.569063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d9b72ab6ab4ad1b9d6ef7291227c4e258efdd195658e61e4036fb343bb8e51

Aliases

arxiv: 1309.2272 · arxiv_version: 1309.2272v1 · doi: 10.48550/arxiv.1309.2272 · pith_short_12: SHM3OKVWVNFN · pith_short_16: SHM3OKVWVNFNDOOW · pith_short_8: SHM3OKVW

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/SHM3OKVWVNFNDOOW55ZJCIT4JY \
  | 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: 91d9b72ab6ab4ad1b9d6ef7291227c4e258efdd195658e61e4036fb343bb8e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe441d3dc5c90200ee42a5abf4ebb7154def049f39c9304572ec7b3badf6a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-09T19:38:41Z",
    "title_canon_sha256": "bcc365812b39b497c6f158aefa36ba4cf305be66100b66393ec00d13fe08deca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2272",
    "kind": "arxiv",
    "version": 1
  }
}