Pith Number

pith:CYZBXBJO

pith:2017:CYZBXBJOZUMAWIPA6DBPEYLCVZ

not attested not anchored not stored refs pending

Transmutation of a Trans-series: The Gross-Witten-Wadia Phase Transition

Anees Ahmed, Gerald V. Dunne

arxiv:1710.01812 v1 · 2017-10-04 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYZBXBJOZUMAWIPA6DBPEYLCVZ}

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

1 paper in Pith

Introductory Lectures on Resurgence: CERN Summer School 2024

Receipt and verification

First computed	2026-05-18T00:28:44.276908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16321b852ecd180b21e0f0c2f26162ae702a07806628077ed2fcb401501a1c5c

Aliases

arxiv: 1710.01812 · arxiv_version: 1710.01812v1 · doi: 10.48550/arxiv.1710.01812 · pith_short_12: CYZBXBJOZUMA · pith_short_16: CYZBXBJOZUMAWIPA · pith_short_8: CYZBXBJO

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/CYZBXBJOZUMAWIPA6DBPEYLCVZ \
  | 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: 16321b852ecd180b21e0f0c2f26162ae702a07806628077ed2fcb401501a1c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c67c240dcb9f58072c1c2a8b5bb22e9ad34d44d0ab8b3be425d16a68ae06bf9a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-10-04T21:26:54Z",
    "title_canon_sha256": "7215327e2ef7556d3c3a43999a455ced7631c90cdd931d8bd25819de50e1fb25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01812",
    "kind": "arxiv",
    "version": 1
  }
}