Pith Number

pith:5LCG7AZP

pith:2015:5LCG7AZPLPMMGS7AGN7K4UYXRL

not attested not anchored not stored refs pending

Miura-type transformations for lattice equations and Lie group actions associated with Darboux-Lax representations

George Berkeley, Sergei Igonin

arxiv:1512.09123 v3 · 2015-12-30 · nlin.SI · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LCG7AZPLPMMGS7AGN7K4UYXRL}

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	2026-05-18T01:11:49.937800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac46f832f5bd8c34be0337eae53178addedb5d34c4981d911e2748ad2d2636d

Aliases

arxiv: 1512.09123 · arxiv_version: 1512.09123v3 · doi: 10.48550/arxiv.1512.09123 · pith_short_12: 5LCG7AZPLPMM · pith_short_16: 5LCG7AZPLPMMGS7A · pith_short_8: 5LCG7AZP

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/5LCG7AZPLPMMGS7AGN7K4UYXRL \
  | 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: eac46f832f5bd8c34be0337eae53178addedb5d34c4981d911e2748ad2d2636d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641c1d8dfe568861b3321e3e6aa71c0a5623b37823ce4c495e0555f9052f38c4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-12-30T20:53:17Z",
    "title_canon_sha256": "75ff63ec5265805d192ca259e2d1ad4c1ecce9587b8b7213bbf827c717f7311d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09123",
    "kind": "arxiv",
    "version": 3
  }
}