Pith Number

pith:OEUQBHZG

pith:2026:OEUQBHZGQQDUXSGM4DE6PSESZV

not attested not anchored not stored refs pending

The $\mu$-extension of iterated integrals and nested sums

A.M. Gavrilik, J. Bl\"umlein, O. Mykhailiv, U.Y. Lunga

arxiv:2606.12584 v1 · 2026-06-10 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEUQBHZGQQDUXSGM4DE6PSESZV}

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	2026-06-12T00:07:55.554866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7129009f2684074bc8cce0c9e7c892cd645860c891b6a7d6ef8bac081969205b

Aliases

arxiv: 2606.12584 · arxiv_version: 2606.12584v1 · doi: 10.48550/arxiv.2606.12584 · pith_short_12: OEUQBHZGQQDU · pith_short_16: OEUQBHZGQQDUXSGM · pith_short_8: OEUQBHZG

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/OEUQBHZGQQDUXSGM4DE6PSESZV \
  | 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: 7129009f2684074bc8cce0c9e7c892cd645860c891b6a7d6ef8bac081969205b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3487ea8f8c3924d9fde424439cb2482a11ee1f7e7f218290ac926318c2c715e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-10T18:32:31Z",
    "title_canon_sha256": "b82ef90fc47fb5c213c4ac5b24f07408b0285a8cc7ef2dad4726efd8ca63fa03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12584",
    "kind": "arxiv",
    "version": 1
  }
}