Pith Number

pith:2T37L4FO

pith:2013:2T37L4FOKPYDPMVNIIBT7CFV5E

not attested not anchored not stored refs pending

Quantum symmetric states on free product C*-algebras

Claus K\"ostler, John D. Williams, Kenneth J. Dykema

arxiv:1305.7293 v3 · 2013-05-31 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2T37L4FOKPYDPMVNIIBT7CFV5E}

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	2026-05-18T02:42:13.187240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f7f5f0ae53f037b2ad42033f88b5e939f0ff16b8e3a2ae3f62a28dc60f7a12

Aliases

arxiv: 1305.7293 · arxiv_version: 1305.7293v3 · doi: 10.48550/arxiv.1305.7293 · pith_short_12: 2T37L4FOKPYD · pith_short_16: 2T37L4FOKPYDPMVN · pith_short_8: 2T37L4FO

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/2T37L4FOKPYDPMVNIIBT7CFV5E \
  | 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: d4f7f5f0ae53f037b2ad42033f88b5e939f0ff16b8e3a2ae3f62a28dc60f7a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd71c2d9a1400584e752e07ae8927c3b446963885c4ad631ed6436b5c6fbc68f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-31T03:06:42Z",
    "title_canon_sha256": "7e7c4896e8784a9db1257093d2be9fb00d4647dbc5a717bfa8677696fda85695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7293",
    "kind": "arxiv",
    "version": 3
  }
}