Pith Number

pith:P2BRCRLT

pith:2019:P2BRCRLT4EJ2YVLK3LPPA6Z6H7

not attested not anchored not stored refs pending

A combinatorial description of the dormant Miura transformation

Yasuhiro Wakabayashi

arxiv:1905.03370 v1 · 2019-05-08 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2BRCRLT4EJ2YVLK3LPPA6Z6H7}

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

Projective and affine structures in positive characteristic I: Chern class formulas and Characterizations of projective spaces

Receipt and verification

First computed	2026-05-17T23:46:40.200962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e83114573e113ac556adadef07b3e3fe29480af77360851c54c080e3648e196

Aliases

arxiv: 1905.03370 · arxiv_version: 1905.03370v1 · doi: 10.48550/arxiv.1905.03370 · pith_short_12: P2BRCRLT4EJ2 · pith_short_16: P2BRCRLT4EJ2YVLK · pith_short_8: P2BRCRLT

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/P2BRCRLT4EJ2YVLK3LPPA6Z6H7 \
  | 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: 7e83114573e113ac556adadef07b3e3fe29480af77360851c54c080e3648e196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb9c6b5d0a85388f49cc3041e254d00fbce5a35f89489ae8fd6634a06dd8b85",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-08T22:08:18Z",
    "title_canon_sha256": "717622e0896d79443167b2b745e2504627cc5a4f6937705f72bc5bb555f572cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03370",
    "kind": "arxiv",
    "version": 1
  }
}