Pith Number

pith:GSIHJB5S

pith:2008:GSIHJB5SPGXYWYESB2XREQSOQM

not attested not anchored not stored refs pending

Representation of entanglement by negative quasi-probabilities

J. Sperling, W. Vogel

arxiv:0811.4527 v3 · 2008-11-27 · 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{GSIHJB5SPGXYWYESB2XREQSOQM}

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	2026-05-18T02:15:12.847274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34907487b279af8b60920eaf12424e83081dcad303cc1cc7cffe9485ef38e0c1

Aliases

arxiv: 0811.4527 · arxiv_version: 0811.4527v3 · doi: 10.48550/arxiv.0811.4527 · pith_short_12: GSIHJB5SPGXY · pith_short_16: GSIHJB5SPGXYWYES · pith_short_8: GSIHJB5S

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/GSIHJB5SPGXYWYESB2XREQSOQM \
  | 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: 34907487b279af8b60920eaf12424e83081dcad303cc1cc7cffe9485ef38e0c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9932b9dcf1af38b8d8315153b0a6112448e272d683886295401bc235dad91342",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-11-27T12:48:06Z",
    "title_canon_sha256": "7d0b8cb733263ca7815f671d83d9ed0b4be3c60c87bb9a3d0bc89e08927ad81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4527",
    "kind": "arxiv",
    "version": 3
  }
}