Pith Number

pith:YXCBSEQ5

pith:2018:YXCBSEQ5LPOI7DGNSCDZLXW2IQ

not attested not anchored not stored refs pending

On tau-functions for the KdV hierarchy

Boris Dubrovin, Di Yang, Don Zagier

arxiv:1812.08488 v2 · 2018-12-20 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXCBSEQ5LPOI7DGNSCDZLXW2IQ}

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

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

Receipt and verification

First computed	2026-07-05T02:17:17.567457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c419121d5bdc8f8ccd908795deda44306cab5bdf6e50b76e8855c85183eaf5

Aliases

arxiv: 1812.08488 · arxiv_version: 1812.08488v2 · doi: 10.48550/arxiv.1812.08488 · pith_short_12: YXCBSEQ5LPOI · pith_short_16: YXCBSEQ5LPOI7DGN · pith_short_8: YXCBSEQ5

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/YXCBSEQ5LPOI7DGNSCDZLXW2IQ \
  | 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: c5c419121d5bdc8f8ccd908795deda44306cab5bdf6e50b76e8855c85183eaf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40fcdc3941a0fa11e95532d9b3f69ba4215f34f1dac940965e85013083afa2fc",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-20T11:25:28Z",
    "title_canon_sha256": "1ed3c2d61429b679b076248dfa6caf7d412ac8ab193a3b47c9dc29ac387bc003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08488",
    "kind": "arxiv",
    "version": 2
  }
}