Pith Number

pith:V73FS5LU

pith:2017:V73FS5LULAVFX4BXUBVHSM6VJZ

not attested not anchored not stored refs pending

Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians

Jens Hornbostel, Nicolas Perrin

arxiv:1702.03113 v1 · 2017-02-10 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V73FS5LULAVFX4BXUBVHSM6VJZ}

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	2026-05-18T00:50:58.627354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff6597574582a5bf037a06a7933d54e6887921244a44fbf07515d056bc3898a

Aliases

arxiv: 1702.03113 · arxiv_version: 1702.03113v1 · doi: 10.48550/arxiv.1702.03113 · pith_short_12: V73FS5LULAVF · pith_short_16: V73FS5LULAVFX4BX · pith_short_8: V73FS5LU

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/V73FS5LULAVFX4BXUBVHSM6VJZ \
  | 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: aff6597574582a5bf037a06a7933d54e6887921244a44fbf07515d056bc3898a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7981ffb8bcf506fe41cadef9d7c593ed3778d7b80551e502a2dda21ddfdb9186",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-10T09:33:55Z",
    "title_canon_sha256": "b13c647d9d2628d3a866c1a818fb96e34cbbe201e79fe37e3c8cd8d9e53c8379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03113",
    "kind": "arxiv",
    "version": 1
  }
}