Pith Number

pith:5ANCW55G

pith:2026:5ANCW55GWCL5H6EYOLEKG7AWFW

not attested not anchored not stored refs pending

Unique temporal scaling dimension for quantum criticality in open systems weakly coupled to environment

Fan Zhong

arxiv:2607.11206 v1 · 2026-07-13 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ANCW55GWCL5H6EYOLEKG7AWFW}

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	2026-07-14T01:22:22.258286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81a2b77a6b097d3f89872c8a37c162dbdd347262dcd3b3144d2680bcf772b28

Aliases

arxiv: 2607.11206 · arxiv_version: 2607.11206v1 · doi: 10.48550/arxiv.2607.11206 · pith_short_12: 5ANCW55GWCL5 · pith_short_16: 5ANCW55GWCL5H6EY · pith_short_8: 5ANCW55G

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/5ANCW55GWCL5H6EYOLEKG7AWFW \
  | 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: e81a2b77a6b097d3f89872c8a37c162dbdd347262dcd3b3144d2680bcf772b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1615f63a109ff6601980aef40eed0dad600a93f58d0422cf58850bfb18c82d0e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-13T07:56:48Z",
    "title_canon_sha256": "3c62415af4f3e23af90f982e702cf44e73edee2f46ad60fe83cc03237874c046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11206",
    "kind": "arxiv",
    "version": 1
  }
}