Pith Number

pith:CTXXXFQ6

pith:2026:CTXXXFQ6ID26KWJUUOGK6GTZZJ

not attested not anchored not stored refs pending

Phase transition from eigenstate thermalization: forbidden singularity and instanton proliferation via AGT correspondence

Chushun Tian, Huajia Wang, Weixin Sun, Yongjiang Xu

arxiv:2608.13246 v1 · 2026-08-13 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTXXXFQ6ID26KWJUUOGK6GTZZJ}

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	2026-08-14T01:00:45.672439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14ef7b961e40f5e55934a38caf1a79ca74a6ed7b5b07ace1b88bed8a6b726d22

Aliases

arxiv: 2608.13246 · arxiv_version: 2608.13246v1 · doi: 10.48550/arxiv.2608.13246 · pith_short_12: CTXXXFQ6ID26 · pith_short_16: CTXXXFQ6ID26KWJU · pith_short_8: CTXXXFQ6

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/CTXXXFQ6ID26KWJUUOGK6GTZZJ \
  | 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: 14ef7b961e40f5e55934a38caf1a79ca74a6ed7b5b07ace1b88bed8a6b726d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef30f810af09e82d49e48bbbf73837181ed6d791bd6bccdc3b5ba291527b78a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-13T13:51:58Z",
    "title_canon_sha256": "b7fde6eb034848cb983cb43a3368ba2f74087ade7d3309d487fb129b4ba9b4be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13246",
    "kind": "arxiv",
    "version": 1
  }
}