Pith Number

pith:4L3U3V4S

pith:2016:4L3U3V4SNHHBN35CF46J6BOFCL

not attested not anchored not stored refs pending

The minimal length and the Shannon entropic uncertainty relation

Pouria Pedram

arxiv:1603.06869 v2 · 2016-03-20 · quant-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L3U3V4SNHHBN35CF46J6BOFCL}

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	2026-05-18T01:15:57.367799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f74dd79269ce16efa22f3c9f05c512d9a7ab015c247e94ff0e6544b4a3aa1b

Aliases

arxiv: 1603.06869 · arxiv_version: 1603.06869v2 · doi: 10.48550/arxiv.1603.06869 · pith_short_12: 4L3U3V4SNHHB · pith_short_16: 4L3U3V4SNHHBN35C · pith_short_8: 4L3U3V4S

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/4L3U3V4SNHHBN35CF46J6BOFCL \
  | 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: e2f74dd79269ce16efa22f3c9f05c512d9a7ab015c247e94ff0e6544b4a3aa1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b404638f71e1e15e905b0068dc822f718d48020ad19ce03f0806a486515beb5c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-20T23:26:31Z",
    "title_canon_sha256": "91eb220b42894a19bc0cc247141391146ef847bda264db295c51935964dea978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06869",
    "kind": "arxiv",
    "version": 2
  }
}