Pith Number

pith:TKM7JQG3

pith:2021:TKM7JQG3TSHGLCYPKT7UBETYCX

not attested not anchored not stored refs pending

Probabilistic transformations of quantum resources

Bartosz Regula

arxiv:2109.04481 v3 · 2021-09-09 · 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{TKM7JQG3TSHGLCYPKT7UBETYCX}

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	2026-07-05T04:06:29.896901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a99f4c0db9c8e658b0f54ff40927815eccb0cf05e0e4c9d12af6cb21f518993

Aliases

arxiv: 2109.04481 · arxiv_version: 2109.04481v3 · doi: 10.48550/arxiv.2109.04481 · pith_short_12: TKM7JQG3TSHG · pith_short_16: TKM7JQG3TSHGLCYP · pith_short_8: TKM7JQG3

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/TKM7JQG3TSHGLCYPKT7UBETYCX \
  | 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: 9a99f4c0db9c8e658b0f54ff40927815eccb0cf05e0e4c9d12af6cb21f518993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35904d32b36e93f2e9260808195bf08a098b3b5c4f11dfefde2e38d311803e16",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-09-09T18:00:02Z",
    "title_canon_sha256": "77860a854115c34af92d99854b35324c67c6331720c4c73ee74fdde26f9119b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04481",
    "kind": "arxiv",
    "version": 3
  }
}