Pith Number

pith:PRZJZ2NK

pith:2010:PRZJZ2NKVYUFLSFFCEGRCJIXIK

not attested not anchored not stored refs pending

Concentration of measure for quantum states with a fixed expectation value

David Gross, Jens Eisert, Markus Mueller

arxiv:1003.4982 v2 · 2010-03-25 · quant-ph · cond-mat.stat-mech · 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{PRZJZ2NKVYUFLSFFCEGRCJIXIK}

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	2026-05-18T04:23:13.311146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c729ce9aaae2855c8a5110d11251742947f1011e3a0d894b76023b240fbc73f

Aliases

arxiv: 1003.4982 · arxiv_version: 1003.4982v2 · doi: 10.48550/arxiv.1003.4982 · pith_short_12: PRZJZ2NKVYUF · pith_short_16: PRZJZ2NKVYUFLSFF · pith_short_8: PRZJZ2NK

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/PRZJZ2NKVYUFLSFFCEGRCJIXIK \
  | 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: 7c729ce9aaae2855c8a5110d11251742947f1011e3a0d894b76023b240fbc73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9f406b5bb8632b5e0d8e173c310826105cd57d08d5931d09222b4dda4df86e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-25T19:54:28Z",
    "title_canon_sha256": "3115b301104b6a0c8f5280ed3ab87838a3d67e800e86747d8a36619008e4e68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4982",
    "kind": "arxiv",
    "version": 2
  }
}