Pith Number

pith:OZNY56YX

pith:2007:OZNY56YX7E26T5EHP4LJ3CQTIM

not attested not anchored not stored refs pending

Galois groups of Schubert problems via homotopy computation

Anton Leykin, Frank Sottile

arxiv:0710.4607 v4 · 2007-10-25 · math.AG · cs.NA · 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{OZNY56YX7E26T5EHP4LJ3CQTIM}

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	2026-06-03T22:06:02.930960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

765b8efb17f935e9f4877f169d8a13433a72c9ea2889c1b08195f74c253653be

Aliases

arxiv: 0710.4607 · arxiv_version: 0710.4607v4 · doi: 10.48550/arxiv.0710.4607 · pith_short_12: OZNY56YX7E26 · pith_short_16: OZNY56YX7E26T5EH · pith_short_8: OZNY56YX

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/OZNY56YX7E26T5EHP4LJ3CQTIM \
  | 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: 765b8efb17f935e9f4877f169d8a13433a72c9ea2889c1b08195f74c253653be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c78e8bf722dd365c67c1dd5ae2128bff1a026e716c04bddbdbe5cbd227932a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-25T03:58:57Z",
    "title_canon_sha256": "4e0aea3c59a799c9ba667b743e896c99c1f1b75c0c644199c2a029db4a0c713a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4607",
    "kind": "arxiv",
    "version": 4
  }
}