Pith Number

pith:2OPKJE4F

pith:2019:2OPKJE4FZPQFD6PSYOSMKGK7HD

not attested not anchored not stored refs pending

Canonical divergence for measuring classical and quantum complexity

Domenico Felice, Nihat Ay, Stefano Mancini

arxiv:1903.09797 v2 · 2019-03-23 · math-ph · math.MP · 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{2OPKJE4FZPQFD6PSYOSMKGK7HD}

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	2026-05-17T23:43:49.690746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39ea49385cbe051f9f2c3a4c5195f38f45fb23205866651b4e2612d49104cf8

Aliases

arxiv: 1903.09797 · arxiv_version: 1903.09797v2 · doi: 10.48550/arxiv.1903.09797 · pith_short_12: 2OPKJE4FZPQF · pith_short_16: 2OPKJE4FZPQFD6PS · pith_short_8: 2OPKJE4F

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/2OPKJE4FZPQFD6PSYOSMKGK7HD \
  | 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: d39ea49385cbe051f9f2c3a4c5195f38f45fb23205866651b4e2612d49104cf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd3875aac5f59cdb49c84b5f6d952ea792bb110adddf753907965cd60b34444",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-23T10:54:01Z",
    "title_canon_sha256": "72726a4dafca6d87ec4d3128cc7d9b186794e30c2d20bb4b2e80f06b2a105830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09797",
    "kind": "arxiv",
    "version": 2
  }
}