Pith Number

pith:S4H6BDV6

pith:2026:S4H6BDV6XYEBPZKOJWKYE7MIDS

not attested not anchored not stored refs pending

Thermally Activated Long-Range Entanglement from Non-Abelian Conservation Laws

Shuai Zeng

arxiv:2607.12710 v1 · 2026-07-14 · 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{S4H6BDV6XYEBPZKOJWKYE7MIDS}

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	2026-07-15T01:22:13.736879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970fe08ebebe0817e54e4d95827d881c8ca1737aa2571f98e1779298a864e21b

Aliases

arxiv: 2607.12710 · arxiv_version: 2607.12710v1 · doi: 10.48550/arxiv.2607.12710 · pith_short_12: S4H6BDV6XYEB · pith_short_16: S4H6BDV6XYEBPZKO · pith_short_8: S4H6BDV6

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/S4H6BDV6XYEBPZKOJWKYE7MIDS \
  | 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: 970fe08ebebe0817e54e4d95827d881c8ca1737aa2571f98e1779298a864e21b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28cbe15dccbe6505e177c6606e30b27a68c785f886314521e9fec8dc81fbe0b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-14T12:35:29Z",
    "title_canon_sha256": "2a4607ba082d33c4858a194d71ec341b6a61ba6e4acac2bb189506edc198a6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12710",
    "kind": "arxiv",
    "version": 1
  }
}