Pith Number

pith:GGPUY4YB

pith:2026:GGPUY4YBWZWDVVNLDZ5H7INZT3

not attested not anchored not stored refs pending

Covariant Quantum Measurements and Stochastic Dynamics on Representation Space

Naeem Shahid

arxiv:2607.25101 v1 · 2026-07-27 · 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{GGPUY4YBWZWDVVNLDZ5H7INZT3}

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	2026-07-29T00:25:02.691988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319f4c7301b66c3ad5ab1e7a7fa1b99eef64d83e2a1ff5e01419594941a4974b

Aliases

arxiv: 2607.25101 · arxiv_version: 2607.25101v1 · doi: 10.48550/arxiv.2607.25101 · pith_short_12: GGPUY4YBWZWD · pith_short_16: GGPUY4YBWZWDVVNL · pith_short_8: GGPUY4YB

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/GGPUY4YBWZWDVVNLDZ5H7INZT3 \
  | 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: 319f4c7301b66c3ad5ab1e7a7fa1b99eef64d83e2a1ff5e01419594941a4974b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b47547d2ec6e00bf8b56e8bd5fdf5fbb437eec7501ab0722177f53deb292f78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-27T22:01:16Z",
    "title_canon_sha256": "8aa28c95b0782228966414b623a69a3e72c8ca1720630f34097b8d7474fb48de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25101",
    "kind": "arxiv",
    "version": 1
  }
}