Pith Number

pith:4MURAG5A

pith:2023:4MURAG5AE4MPBPXE6CQQU2AP7N

not attested not anchored not stored refs pending

Blobbed topological recursion from extended loop equations

Alexander Hock (Heidelberg), Raimar Wulkenhaar (M\"unster)

arxiv:2301.04068 v2 · 2023-01-10 · math-ph · math.AG · 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{4MURAG5AE4MPBPXE6CQQU2AP7N}

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

1 paper in Pith

Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions

Receipt and verification

First computed	2026-07-05T10:45:02.783447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e329101ba02718f0bee4f0a10a680ffb45e969c8dfda0ac3c3c6470930ff8e72

Aliases

arxiv: 2301.04068 · arxiv_version: 2301.04068v2 · doi: 10.48550/arxiv.2301.04068 · pith_short_12: 4MURAG5AE4MP · pith_short_16: 4MURAG5AE4MPBPXE · pith_short_8: 4MURAG5A

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/4MURAG5AE4MPBPXE6CQQU2AP7N \
  | 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: e329101ba02718f0bee4f0a10a680ffb45e969c8dfda0ac3c3c6470930ff8e72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7d42b54b59cce4b8e5843359eed7d173e4e358102541cabc7fcef6e3d09fdc3",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-01-10T16:40:51Z",
    "title_canon_sha256": "076af46d0aef609ea1ed5b0d0f71496943ff91a18614b689c4c3635b72ee3b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.04068",
    "kind": "arxiv",
    "version": 2
  }
}