Pith Number

pith:BNFKJAYR

pith:2016:BNFKJAYRI4ITTAHNRRTPOMOD2B

not attested not anchored not stored refs pending

When a negative weak value -1 plays the counterpart of a probability 1

Kazuhiro Yokota, Nobuyuki Imoto

arxiv:1607.08039 v2 · 2016-07-27 · 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{BNFKJAYRI4ITTAHNRRTPOMOD2B}

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	2026-05-18T00:54:35.224948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4aa4831147113980ed8c66f731c3d0725caccaea7b1b0cf890978d0ae7127c

Aliases

arxiv: 1607.08039 · arxiv_version: 1607.08039v2 · doi: 10.48550/arxiv.1607.08039 · pith_short_12: BNFKJAYRI4IT · pith_short_16: BNFKJAYRI4ITTAHN · pith_short_8: BNFKJAYR

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/BNFKJAYRI4ITTAHNRRTPOMOD2B \
  | 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: 0b4aa4831147113980ed8c66f731c3d0725caccaea7b1b0cf890978d0ae7127c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d47875c3031c1724f3255134f466e6d1634dd59ea41dd531fd505f383a0be4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-27T11:12:47Z",
    "title_canon_sha256": "7c398af38bc4f214917b7bfa67a7073f6b5a3fbf8b0c2c3517c736de54cf117a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08039",
    "kind": "arxiv",
    "version": 2
  }
}