Pith Number

pith:BHUYZDXW

pith:2021:BHUYZDXW6QAKZSFCKLMNP6Y6AQ

not attested not anchored not stored refs pending

Cluster expansion and resurgence in Polyakov model

Cihan Pazarba\c{s}{\i}, Mithat \"Unsal

arxiv:2110.05612 v1 · 2021-10-11 · hep-th · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHUYZDXW6QAKZSFCKLMNP6Y6AQ}

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.

Cited by

2 papers in Pith

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence

Receipt and verification

First computed	2026-07-05T04:18:02.690012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e98c8ef6f400acc8a252d8d7fb1e042e8a9128e24b61dbd829e500679bcc12

Aliases

arxiv: 2110.05612 · arxiv_version: 2110.05612v1 · doi: 10.48550/arxiv.2110.05612 · pith_short_12: BHUYZDXW6QAK · pith_short_16: BHUYZDXW6QAKZSFC · pith_short_8: BHUYZDXW

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/BHUYZDXW6QAKZSFCKLMNP6Y6AQ \
  | 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: 09e98c8ef6f400acc8a252d8d7fb1e042e8a9128e24b61dbd829e500679bcc12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c9137bb8f8d63e74e3b400127fe389839ed699ff61661832f2de932adb6d12",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-10-11T21:06:07Z",
    "title_canon_sha256": "ee0dafc088e226245ea2644e6d37ed085da6abac4ce17e6f080464cd0fff0fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.05612",
    "kind": "arxiv",
    "version": 1
  }
}