Pith Number

pith:NMTF4YAC

pith:2012:NMTF4YACVS53BJTLH5MQ5IEESN

not attested not anchored not stored refs pending

Quantum channels arising from abstract harmonic analysis

Jason Crann, Matthias Neufang

arxiv:1210.2738 v2 · 2012-10-09 · math-ph · math.MP · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMTF4YACVS53BJTLH5MQ5IEESN}

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	2026-05-18T01:54:03.822880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b265e6002acbbb0a66b3f590ea0849345e6955ba59e6f28f2e2d3ed3798f1dd

Aliases

arxiv: 1210.2738 · arxiv_version: 1210.2738v2 · doi: 10.48550/arxiv.1210.2738 · pith_short_12: NMTF4YACVS53 · pith_short_16: NMTF4YACVS53BJTL · pith_short_8: NMTF4YAC

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/NMTF4YACVS53BJTLH5MQ5IEESN \
  | 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: 6b265e6002acbbb0a66b3f590ea0849345e6955ba59e6f28f2e2d3ed3798f1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138c31916b75f81e64248d66a51cced39b2813c72cd3899f71d52c6d70fe397f",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-09T20:19:43Z",
    "title_canon_sha256": "b0ccf248469a4af8be29201e18d1ef640ab9b052f8222523e2690474cddef16a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2738",
    "kind": "arxiv",
    "version": 2
  }
}