Pith Number

pith:2UK56Y6O

pith:2010:2UK56Y6OHLEDKXT6V2C6X2BK53

not attested not anchored not stored refs pending

Birkhoff strata of Sato Grassmannian and algebraic curves

B.G. Konopelchenko, G. Ortenzi

arxiv:1005.2053 v3 · 2010-05-12 · math-ph · math.AG · 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{2UK56Y6OHLEDKXT6V2C6X2BK53}

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	2026-05-18T03:20:35.956210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d515df63ce3ac8355e7eae85ebe82aeec3a24c026caf0a65d8598ce14c39c19a

Aliases

arxiv: 1005.2053 · arxiv_version: 1005.2053v3 · doi: 10.48550/arxiv.1005.2053 · pith_short_12: 2UK56Y6OHLED · pith_short_16: 2UK56Y6OHLEDKXT6 · pith_short_8: 2UK56Y6O

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/2UK56Y6OHLEDKXT6V2C6X2BK53 \
  | 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: d515df63ce3ac8355e7eae85ebe82aeec3a24c026caf0a65d8598ce14c39c19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334174e5e7d676e102bb2d26be735a5235d0a7eaa1a58b301d0843d8a125325b",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-12T11:26:06Z",
    "title_canon_sha256": "e0828cf65aea8f9336c9b92c2f9d222c2e69bbb8f9f280e7ba88c3b5b63db0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2053",
    "kind": "arxiv",
    "version": 3
  }
}