Pith Number

pith:PQMIHF43

pith:2026:PQMIHF43RC5DWJOBJUGZVQNXPU

not attested not anchored not stored refs pending

Degeneration limits of Virasoro vertex operators and Painlev\'e tau functions

Hajime Nagoya, Haruki Nakagawa

arxiv:2601.11111 v2 · 2026-01-16 · 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{PQMIHF43RC5DWJOBJUGZVQNXPU}

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	2026-06-24T01:15:00.317504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1883979b88ba3b25c14d0d9ac1b77d2e587d96563ba1edc455d3f73912345b

Aliases

arxiv: 2601.11111 · arxiv_version: 2601.11111v2 · doi: 10.48550/arxiv.2601.11111 · pith_short_12: PQMIHF43RC5D · pith_short_16: PQMIHF43RC5DWJOB · pith_short_8: PQMIHF43

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/PQMIHF43RC5DWJOBJUGZVQNXPU \
  | 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: 7c1883979b88ba3b25c14d0d9ac1b77d2e587d96563ba1edc455d3f73912345b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf2cf7b0f1682a8fa40ae1139dac322180378475a98498acdbb47b2e30777a2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-01-16T09:14:25Z",
    "title_canon_sha256": "9faf38d0f8356df4cbb67a3774e5748a77058e687cb0c446e9eb877bfd76550b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.11111",
    "kind": "arxiv",
    "version": 2
  }
}