Pith Number

pith:HPMPZ4GJ

pith:2019:HPMPZ4GJXE4V7BZTHRHRMAG4D2

not attested not anchored not stored refs pending

Virasoro Constraints for Drinfeld-Sokolov hierarchies and equations of Painlev\'{e} type

Chao-Zhong Wu, Si-Qi Liu, Youjin Zhang

arxiv:1908.06707 v3 · 2019-08-19 · nlin.SI · 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{HPMPZ4GJXE4V7BZTHRHRMAG4D2}

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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	2026-07-05T02:08:59.628648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd8fcf0c9b9395f87333c4f1600dc1eb45a097829ab75a0ef1d5ebcf0f87756

Aliases

arxiv: 1908.06707 · arxiv_version: 1908.06707v3 · doi: 10.48550/arxiv.1908.06707 · pith_short_12: HPMPZ4GJXE4V · pith_short_16: HPMPZ4GJXE4V7BZT · pith_short_8: HPMPZ4GJ

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/HPMPZ4GJXE4V7BZTHRHRMAG4D2 \
  | 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: 3bd8fcf0c9b9395f87333c4f1600dc1eb45a097829ab75a0ef1d5ebcf0f87756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a51c449015ed55555dd2cedf1ff2dadd311173595c30234361fe3b3aefd62f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2019-08-19T11:34:14Z",
    "title_canon_sha256": "dc1fa2201eeb1d29e97dc341fb5a37b83b19c3ec0bd7991d3f635cf45051563d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06707",
    "kind": "arxiv",
    "version": 3
  }
}