Pith Number

pith:K4X47AP6

pith:2013:K4X47AP6KL3HJFXGKN2HU2I66X

not attested not anchored not stored refs pending

Entanglement does not generally decrease under renormalization

Brian Swingle

arxiv:1307.8117 v2 · 2013-07-30 · cond-mat.stat-mech · hep-th · 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{K4X47AP6KL3HJFXGKN2HU2I66X}

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	2026-05-18T01:48:32.641472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572fcf81fe52f67496e653747a691ef5f6c27ebad37909a3d22d13b9d6150db7

Aliases

arxiv: 1307.8117 · arxiv_version: 1307.8117v2 · doi: 10.48550/arxiv.1307.8117 · pith_short_12: K4X47AP6KL3H · pith_short_16: K4X47AP6KL3HJFXG · pith_short_8: K4X47AP6

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/K4X47AP6KL3HJFXGKN2HU2I66X \
  | 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: 572fcf81fe52f67496e653747a691ef5f6c27ebad37909a3d22d13b9d6150db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0298a75127d03f7931cf92ea13ff313400137a87c6e2bf7d47cb05e101d78a",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-07-30T20:00:02Z",
    "title_canon_sha256": "5f90f16f6949d62d8d9264a19bbea27243e4a6fd15b2dbce26fface47a0d832c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8117",
    "kind": "arxiv",
    "version": 2
  }
}