Pith Number

pith:XWGFJIBI

pith:2007:XWGFJIBIMVDJ4KKTIGXGH3FRZH

not attested not anchored not stored refs pending

Quantum Reference Frames and the Classification of Rotationally-Invariant Maps

J.-C. Boileau, L. Sheridan, M. Laforest, S. D. Bartlett

arxiv:0709.0142 v2 · 2007-09-03 · 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{XWGFJIBIMVDJ4KKTIGXGH3FRZH}

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	2026-07-04T15:10:10.632717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8c54a02865469e295341ae63ecb1c9c5642ca858bbb6fb6cc1b8af849fd19c

Aliases

arxiv: 0709.0142 · arxiv_version: 0709.0142v2 · doi: 10.48550/arxiv.0709.0142 · pith_short_12: XWGFJIBIMVDJ · pith_short_16: XWGFJIBIMVDJ4KKT · pith_short_8: XWGFJIBI

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/XWGFJIBIMVDJ4KKTIGXGH3FRZH \
  | 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: bd8c54a02865469e295341ae63ecb1c9c5642ca858bbb6fb6cc1b8af849fd19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b44acc8e3db648f35bc2e5db66573da1e0fffea4d3425b6be7f081cd2a99f007",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-09-03T01:56:05Z",
    "title_canon_sha256": "651872e640c55157c16567e01cd60331c4ed89cd7657a94dacff4aaf27ddc717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0142",
    "kind": "arxiv",
    "version": 2
  }
}