Pith Number

pith:6LJ3TMI6

pith:2021:6LJ3TMI67ADUVTACCKIV3MJVMJ

not attested not anchored not stored refs pending

Treating Divergent Perturbation Theory: Lessons from Exactly Solvable 2D Models at Large $N$

Chao-Hsiang Sheu, Daniel Schubring, Mikhail Shifman

arxiv:2107.11017 v2 · 2021-07-23 · 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{6LJ3TMI67ADUVTACCKIV3MJVMJ}

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

3 papers in Pith

Anatomy of the simplest renormalon

Renormalons as Saddle Points

Trans-series from condensates in the non-linear sigma model

Receipt and verification

First computed	2026-07-05T03:22:46.455235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d3b9b11ef8074acc0212915db13562586e2e0247eee2d0583357e8a01300af

Aliases

arxiv: 2107.11017 · arxiv_version: 2107.11017v2 · doi: 10.48550/arxiv.2107.11017 · pith_short_12: 6LJ3TMI67ADU · pith_short_16: 6LJ3TMI67ADUVTAC · pith_short_8: 6LJ3TMI6

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/6LJ3TMI67ADUVTACCKIV3MJVMJ \
  | 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: f2d3b9b11ef8074acc0212915db13562586e2e0247eee2d0583357e8a01300af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78cc209883c5a7d7689716af42cc4ef55cd8afeddd084f5b8d82d7e0639a8005",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-23T03:45:07Z",
    "title_canon_sha256": "fe637ea98afc5dc29f796e755d18b08c216d37af7a034653483b3ffa9caec84d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11017",
    "kind": "arxiv",
    "version": 2
  }
}