Pith Number

pith:5G77BJVO

pith:2019:5G77BJVOQ3WWPHQ73GFVPMA3H5

not attested not anchored not stored refs pending

Differential Geometry of Quantum States, Observables and Evolution

Alberto Ibort, Florio M. Ciaglia, Giuseppe Marmo

arxiv:1903.10465 v1 · 2019-03-25 · 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{5G77BJVOQ3WWPHQ73GFVPMA3H5}

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	2026-05-17T23:50:29.310496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9bff0a6ae86ed679e1fd98b57b01b3f5731692a0d00f06410e307bc40ae6d10

Aliases

arxiv: 1903.10465 · arxiv_version: 1903.10465v1 · doi: 10.48550/arxiv.1903.10465 · pith_short_12: 5G77BJVOQ3WW · pith_short_16: 5G77BJVOQ3WWPHQ7 · pith_short_8: 5G77BJVO

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/5G77BJVOQ3WWPHQ73GFVPMA3H5 \
  | 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: e9bff0a6ae86ed679e1fd98b57b01b3f5731692a0d00f06410e307bc40ae6d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d16814b4ef0fe3c85b8256f7bb2943bf66cdfde71f15d1a341e63e2d747c28c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-25T17:02:04Z",
    "title_canon_sha256": "59a0f7592855d1fa6f876789a73a191ca6e9f0f7436caa233242577a1e592357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10465",
    "kind": "arxiv",
    "version": 1
  }
}