Pith Number

pith:F4AM6GNJ

pith:2021:F4AM6GNJRPDEV4UF3BWOS2MNBV

not attested not anchored not stored refs pending

Density theorems with applications in quantum signal processing

Rahul Sarkar, Theodore J. Yoder

arxiv:2111.07182 v3 · 2021-11-13 · math.CA · 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{F4AM6GNJRPDEV4UF3BWOS2MNBV}

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	2026-07-05T04:12:36.911223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f00cf19a98bc64af285d86ce9698d0d4f25907987f38f4b2efe7a1b44050005

Aliases

arxiv: 2111.07182 · arxiv_version: 2111.07182v3 · doi: 10.48550/arxiv.2111.07182 · pith_short_12: F4AM6GNJRPDE · pith_short_16: F4AM6GNJRPDEV4UF · pith_short_8: F4AM6GNJ

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/F4AM6GNJRPDEV4UF3BWOS2MNBV \
  | 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: 2f00cf19a98bc64af285d86ce9698d0d4f25907987f38f4b2efe7a1b44050005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "309dbf0ecc86c9af811738d5eb8f0ada4747aef67b42d8c6a72d5efd0ca5a62f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-11-13T20:00:21Z",
    "title_canon_sha256": "d06507e61d3fa02e492edc379f86c8a846592d248f88cf811bfceaa3fe1d1873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07182",
    "kind": "arxiv",
    "version": 3
  }
}