Pith Number

pith:E7OHNKW5

pith:2010:E7OHNKW5NDKFELWVMK3KNP5KYL

not attested not anchored not stored refs pending

Birkhoff strata of the Grassmannian Gr$\mathrm{^{(2)}}$: Algebraic curves

B. G. Konopelchenko, G. Ortenzi

arxiv:1011.4205 v2 · 2010-11-18 · 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{E7OHNKW5NDKFELWVMK3KNP5KYL}

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	2026-05-18T02:04:43.980275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27dc76aadd68d4522ed562b6a6bfaac2d955658bb43f2fe40c92153bc7587ab6

Aliases

arxiv: 1011.4205 · arxiv_version: 1011.4205v2 · doi: 10.48550/arxiv.1011.4205 · pith_short_12: E7OHNKW5NDKF · pith_short_16: E7OHNKW5NDKFELWV · pith_short_8: E7OHNKW5

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/E7OHNKW5NDKFELWVMK3KNP5KYL \
  | 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: 27dc76aadd68d4522ed562b6a6bfaac2d955658bb43f2fe40c92153bc7587ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0dbea40682ff704481cf2c6b21aeb97e69b4ed2000f4354a0f7e34863773c2",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-18T14:54:11Z",
    "title_canon_sha256": "cb7b77286acf9727d16f12dc47eeb1d3ed926ba8d96e2a3ff1f6a303f3fd90aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4205",
    "kind": "arxiv",
    "version": 2
  }
}