Pith Number

pith:2UPTVGE5

pith:2011:2UPTVGE5ZD4OMZC4J6LSLPXQHQ

not attested not anchored not stored refs pending

Comment on "Minimum Uncertainty and Entanglement"

Berthold-Georg Englert

arxiv:1108.1106 v2 · 2011-08-04 · 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{2UPTVGE5ZD4OMZC4J6LSLPXQHQ}

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	2026-05-18T04:14:07.416584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51f3a989dc8f8e6645c4f9725bef03c34e6d8d971d478f30a02819a1a55543f

Aliases

arxiv: 1108.1106 · arxiv_version: 1108.1106v2 · doi: 10.48550/arxiv.1108.1106 · pith_short_12: 2UPTVGE5ZD4O · pith_short_16: 2UPTVGE5ZD4OMZC4 · pith_short_8: 2UPTVGE5

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/2UPTVGE5ZD4OMZC4J6LSLPXQHQ \
  | 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: d51f3a989dc8f8e6645c4f9725bef03c34e6d8d971d478f30a02819a1a55543f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3152cd96b8276f8eba14159267ebe75c2b95723ab5f049c0f70e900c2ab3772c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-04T14:49:35Z",
    "title_canon_sha256": "f7fd3be6a91d8c4dc257fb2850dcae4a37f0e98f2ddc7076a38b79fa7ec24e3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1106",
    "kind": "arxiv",
    "version": 2
  }
}