Pith Number

pith:DXBHW66K

pith:2006:DXBHW66KDQS3MEM7J342PAO4EB

not attested not anchored not stored refs pending

Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy

Brad Safnuk (UC Davis), Motohico Mulase (UC Davis)

arxiv:math/0601194 v3 · 2006-01-09 · math.QA · 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{DXBHW66KDQS3MEM7J342PAO4EB}

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

Non-perturbative effects in JT gravity from KdV equations

Receipt and verification

First computed	2026-07-04T14:52:47.622409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc27b7bca1c25b6119f4ef9a781dc207bdeb80973b87bb897e357235dac64e1

Aliases

arxiv: math/0601194 · arxiv_version: math/0601194v3 · doi: 10.48550/arxiv.math/0601194 · pith_short_12: DXBHW66KDQS3 · pith_short_16: DXBHW66KDQS3MEM7 · pith_short_8: DXBHW66K

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/DXBHW66KDQS3MEM7J342PAO4EB \
  | 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: 1dc27b7bca1c25b6119f4ef9a781dc207bdeb80973b87bb897e357235dac64e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c2a6560403ad6d93bf569616bf4b0a066d1c1d70c5b963b6d96e6f62f26d100",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-01-09T21:59:11Z",
    "title_canon_sha256": "7976b2a0654fc2f9a5f294d4bbefa1c68fa4c982d8f15600214eebe7e6569950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601194",
    "kind": "arxiv",
    "version": 3
  }
}