Pith Number

pith:O7GUT7W2

pith:2025:O7GUT7W2GLBAROABTLC7TTYWEA

not attested not anchored not stored refs pending

A new look at Perturbation Theory in QFT and Resolvent Series

Raphael Ducatez

arxiv:2506.11572 v1 · 2025-06-13 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7GUT7W2GLBAROABTLC7TTYWEA}

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.

Receipt and verification

First computed	2026-07-05T11:21:06.968312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77cd49feda32c208b8019ac5f9cf1620234e14ac0edb194a6c07fb3fe026a93d

Aliases

arxiv: 2506.11572 · arxiv_version: 2506.11572v1 · doi: 10.48550/arxiv.2506.11572 · pith_short_12: O7GUT7W2GLBA · pith_short_16: O7GUT7W2GLBAROAB · pith_short_8: O7GUT7W2

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/O7GUT7W2GLBAROABTLC7TTYWEA \
  | 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: 77cd49feda32c208b8019ac5f9cf1620234e14ac0edb194a6c07fb3fe026a93d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027ebc7966022405a4f69f848e4ce77576782e8e77b95f3393cb1f2301bb1ace",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-13T08:27:49Z",
    "title_canon_sha256": "fd0ccb7b8f5d7f65bd28b3d856329707c0f1715421d6e2c8b450a9507559a5d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11572",
    "kind": "arxiv",
    "version": 1
  }
}