Pith Number

pith:K3NS6VKC

pith:2010:K3NS6VKCYLSPU3EG444CYUCFED

not attested not anchored not stored refs pending

On the mixing property for a class of states of relativistic quantum fields

Christian D. Jaekel, Heide Narnhofer, Walter F. Wreszinski

arxiv:1005.4235 v1 · 2010-05-23 · 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{K3NS6VKCYLSPU3EG444CYUCFED}

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	2026-05-18T02:07:15.313135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56db2f5542c2e4fa6c86e7382c504520cf070235ac01ec08c9e522ae263cb10f

Aliases

arxiv: 1005.4235 · arxiv_version: 1005.4235v1 · doi: 10.48550/arxiv.1005.4235 · pith_short_12: K3NS6VKCYLSP · pith_short_16: K3NS6VKCYLSPU3EG · pith_short_8: K3NS6VKC

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/K3NS6VKCYLSPU3EG444CYUCFED \
  | 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: 56db2f5542c2e4fa6c86e7382c504520cf070235ac01ec08c9e522ae263cb10f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0737247be605193ab3c243af4e2f5807bd8a7c8a8f63a76a9f232cb6ce26a01",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-23T22:07:25Z",
    "title_canon_sha256": "0606c1c85b16b382f448f0dfbd2dbbb002098a1d2abe144ebd0f3980bd72b267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4235",
    "kind": "arxiv",
    "version": 1
  }
}