Pith Number

pith:WQWM6VOJ

pith:2021:WQWM6VOJKWNQGAN6F2HOB3MXEJ

not attested not anchored not stored refs pending

A Quantum Complexity Lowerbound from Differential Geometry

Adam R. Brown

arxiv:2112.05724 v1 · 2021-12-10 · hep-th · math.DG · 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{WQWM6VOJKWNQGAN6F2HOB3MXEJ}

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.

Cited by

1 paper in Pith

Nielsen complexity with multiple cost factors

Receipt and verification

First computed	2026-07-05T05:54:26.923406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42ccf55c9559b0301be2e8ee0ed97225277d02ad3ab55be5ac92a9474caab57

Aliases

arxiv: 2112.05724 · arxiv_version: 2112.05724v1 · doi: 10.48550/arxiv.2112.05724 · pith_short_12: WQWM6VOJKWNQ · pith_short_16: WQWM6VOJKWNQGAN6 · pith_short_8: WQWM6VOJ

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/WQWM6VOJKWNQGAN6F2HOB3MXEJ \
  | 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: b42ccf55c9559b0301be2e8ee0ed97225277d02ad3ab55be5ac92a9474caab57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805035b834e79ab062a2123050d5632a374b0059336b8a4ea6e0ef4e9dbac749",
    "cross_cats_sorted": [
      "math.DG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-10T18:28:01Z",
    "title_canon_sha256": "bdda578e3153cc31e9b96ae2f5664cbf228cd5f5006e36d00061fb9fdc1c0866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05724",
    "kind": "arxiv",
    "version": 1
  }
}