Pith Number

pith:P4M3KWBT

pith:2023:P4M3KWBTHS5JCZEK4UTNZ4AGUI

not attested not anchored not stored refs pending

On the Structure of Trans-Series in Quantum Field Theory

Marcos Marino, Ramon Miravitllas, Tom\'as Reis

arxiv:2302.08363 v3 · 2023-02-16 · hep-th · 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{P4M3KWBTHS5JCZEK4UTNZ4AGUI}

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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	2026-07-05T11:46:32.778221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f19b558333cba91648ae526dcf006a21666d98b119ea509371bf5922727d8cc

Aliases

arxiv: 2302.08363 · arxiv_version: 2302.08363v3 · doi: 10.48550/arxiv.2302.08363 · pith_short_12: P4M3KWBTHS5J · pith_short_16: P4M3KWBTHS5JCZEK · pith_short_8: P4M3KWBT

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/P4M3KWBTHS5JCZEK4UTNZ4AGUI \
  | 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: 7f19b558333cba91648ae526dcf006a21666d98b119ea509371bf5922727d8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34b78ff1781990d6185c9673f8210015b5127d8ebbec4db48d3ec27255f3c28",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-02-16T15:29:15Z",
    "title_canon_sha256": "4e78658976c19c6ac78eba605389454242f7fbfdbbf71dbf4588d7722630e4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08363",
    "kind": "arxiv",
    "version": 3
  }
}