Pith Number

pith:5NDWMW6O

pith:2021:5NDWMW6OXMHQAZDC4GCCHAFMZX

not attested not anchored not stored refs pending

New renormalons from analytic trans-series

Marcos Marino, Ramon Miravitllas, Tomas Reis

arxiv:2111.11951 v4 · 2021-11-23 · hep-th · hep-lat · hep-ph · 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{5NDWMW6OXMHQAZDC4GCCHAFMZX}

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

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

Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model

Receipt and verification

First computed	2026-07-05T05:43:09.066445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb47665bcebb0f006462e1842380accdfdd9fb5240e4b6434556a1406ee3ffbd

Aliases

arxiv: 2111.11951 · arxiv_version: 2111.11951v4 · doi: 10.48550/arxiv.2111.11951 · pith_short_12: 5NDWMW6OXMHQ · pith_short_16: 5NDWMW6OXMHQAZDC · pith_short_8: 5NDWMW6O

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/5NDWMW6OXMHQAZDC4GCCHAFMZX \
  | 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: eb47665bcebb0f006462e1842380accdfdd9fb5240e4b6434556a1406ee3ffbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82e4ee0e9a65b805fa6675b0195bb7da105b574cede89a4a3bc75e199289009",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-23T15:44:13Z",
    "title_canon_sha256": "c3dab1acc82a83e29e89bbd3237c2dd715bf38e328d73e48a2db242e100e9ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11951",
    "kind": "arxiv",
    "version": 4
  }
}