Pith Number

pith:UPH2B4NE

pith:2011:UPH2B4NEYO5XS2XMEMI6EECFEP

not attested not anchored not stored refs pending

On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket

A. Buryak, H. Posthuma, S. Shadrin

arxiv:1104.2722 v1 · 2011-04-14 · 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{UPH2B4NEYO5XS2XMEMI6EECFEP}

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	2026-05-18T02:02:29.182593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cfa0f1a4c3bb796aec2311e2104523e70c2046b9f36701c1f07a034ce73096

Aliases

arxiv: 1104.2722 · arxiv_version: 1104.2722v1 · doi: 10.48550/arxiv.1104.2722 · pith_short_12: UPH2B4NEYO5X · pith_short_16: UPH2B4NEYO5XS2XM · pith_short_8: UPH2B4NE

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/UPH2B4NEYO5XS2XMEMI6EECFEP \
  | 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: a3cfa0f1a4c3bb796aec2311e2104523e70c2046b9f36701c1f07a034ce73096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55e1a5ca1861815a7592f1ac8b5f572cdf3aac82811dbafc2c9864edc074098",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-14T11:21:42Z",
    "title_canon_sha256": "4157e99ab2c245d71b0acba4fc5ec3589072b01bc8a3ab22db9aa0118d13d77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2722",
    "kind": "arxiv",
    "version": 1
  }
}