Pith Number

pith:GYK3ZKHV

pith:2012:GYK3ZKHVLH4P5P2XM2JJBR3WYZ

not attested not anchored not stored refs pending

Wigner function for the orientation state

Clemens Gneiting, Klaus Hornberger, Timo Fischer

arxiv:1210.4115 v3 · 2012-10-15 · 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{GYK3ZKHVLH4P5P2XM2JJBR3WYZ}

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	2026-05-18T03:21:31.523549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3615bca8f559f8febf57669290c776c64a74137d932a527a6d056a6f28ddccb3

Aliases

arxiv: 1210.4115 · arxiv_version: 1210.4115v3 · doi: 10.48550/arxiv.1210.4115 · pith_short_12: GYK3ZKHVLH4P · pith_short_16: GYK3ZKHVLH4P5P2X · pith_short_8: GYK3ZKHV

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/GYK3ZKHVLH4P5P2XM2JJBR3WYZ \
  | 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: 3615bca8f559f8febf57669290c776c64a74137d932a527a6d056a6f28ddccb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4fdbc021b3747f6ac50f075f48811d9e5b75d65df237d2fb45658a67901ef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-15T17:27:18Z",
    "title_canon_sha256": "c32b98e31c494f627cedb3b7361a58a03b8f96f39e6ccc4991307985a48551e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4115",
    "kind": "arxiv",
    "version": 3
  }
}