Pith Number

pith:6JUFRCIE

pith:2014:6JUFRCIEUI5PEILOYGGN6NRKET

not attested not anchored not stored refs pending

A primal-dual formulation for certifiable computations in Schubert calculus

Frank Sottile, Jonathan D. Hauenstein, Nickolas Hein

arxiv:1406.0864 v2 · 2014-06-03 · math.AG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JUFRCIEUI5PEILOYGGN6NRKET}

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	2026-05-18T02:20:49.749557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f268588904a23af2216ec18cdf362a24d53ae49396c49f764a48c75f2395066d

Aliases

arxiv: 1406.0864 · arxiv_version: 1406.0864v2 · doi: 10.48550/arxiv.1406.0864 · pith_short_12: 6JUFRCIEUI5P · pith_short_16: 6JUFRCIEUI5PEILO · pith_short_8: 6JUFRCIE

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/6JUFRCIEUI5PEILOYGGN6NRKET \
  | 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: f268588904a23af2216ec18cdf362a24d53ae49396c49f764a48c75f2395066d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d1e7e319a313917a92d644f08b1e64b1338003a624b311a72fbc177c100e9e",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-03T20:18:33Z",
    "title_canon_sha256": "e8315523b88c764b95cb0b8a756aa280ac10487a827f25d08f1b2d68c705a7cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0864",
    "kind": "arxiv",
    "version": 2
  }
}