Pith Number

pith:BHUZNSTX

pith:2010:BHUZNSTXAHWDTVPBGZ5R3XFLDV

not attested not anchored not stored refs pending

Beyond the Dirac phase factor

Konstantinos Moulopoulos

arxiv:1011.3821 v1 · 2010-11-16 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHUZNSTXAHWDTVPBGZ5R3XFLDV}

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	2026-05-18T04:35:47.486068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e996ca7701ec39d5e1367b1ddcab1d637483425620e87e2332200cfe94043e

Aliases

arxiv: 1011.3821 · arxiv_version: 1011.3821v1 · doi: 10.48550/arxiv.1011.3821 · pith_short_12: BHUZNSTXAHWD · pith_short_16: BHUZNSTXAHWDTVPB · pith_short_8: BHUZNSTX

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/BHUZNSTXAHWDTVPBGZ5R3XFLDV \
  | 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: 09e996ca7701ec39d5e1367b1ddcab1d637483425620e87e2332200cfe94043e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce4002ab467f587aae22230dcacc5e160a30a6b6b212bae16bc799efbe1535f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-11-16T21:00:52Z",
    "title_canon_sha256": "2493941a978359908b9bb169e68cc09dafafdc27c41591193dd2482e9f55c43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3821",
    "kind": "arxiv",
    "version": 1
  }
}