Pith Number

pith:VAXICP2J

pith:2013:VAXICP2JZVH6RJEMUMFOXUIYOB

not attested not anchored not stored refs pending

Geometry of quantum evolution for mixed quantum states

Hoshang Heydari, Ole Andersson

arxiv:1312.3360 v1 · 2013-12-11 · 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{VAXICP2JZVH6RJEMUMFOXUIYOB}

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	2026-05-18T02:53:29.852010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82e813f49cd4fe8a48ca30aebd11870690275ad78cc0f7b795905d87ac602d3

Aliases

arxiv: 1312.3360 · arxiv_version: 1312.3360v1 · doi: 10.48550/arxiv.1312.3360 · pith_short_12: VAXICP2JZVH6 · pith_short_16: VAXICP2JZVH6RJEM · pith_short_8: VAXICP2J

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/VAXICP2JZVH6RJEMUMFOXUIYOB \
  | 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: a82e813f49cd4fe8a48ca30aebd11870690275ad78cc0f7b795905d87ac602d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03094b3b74f7ffc2141f25f774185a919ee9d7ba45360c5ba51d31bdd918d2c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-11T22:13:24Z",
    "title_canon_sha256": "9a4fde812dd2c9c11c64a2d89c046834e727bf1e560f926764d3dfc0f703808b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3360",
    "kind": "arxiv",
    "version": 1
  }
}