Pith Number

pith:JKDTRA3S

pith:2015:JKDTRA3SXXLXDZNFESNJKYVKPR

not attested not anchored not stored refs pending

Toric matrix Schubert varieties and their polytopes

Karola Meszaros, Laura Escobar

arxiv:1508.03445 v1 · 2015-08-14 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKDTRA3SXXLXDZNFESNJKYVKPR}

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	2026-05-18T01:35:17.791011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a87388372bdd771e5a5249a9562aa7c61b082772613c65940db99dc73fcc8db

Aliases

arxiv: 1508.03445 · arxiv_version: 1508.03445v1 · doi: 10.48550/arxiv.1508.03445 · pith_short_12: JKDTRA3SXXLX · pith_short_16: JKDTRA3SXXLXDZNF · pith_short_8: JKDTRA3S

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/JKDTRA3SXXLXDZNFESNJKYVKPR \
  | 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: 4a87388372bdd771e5a5249a9562aa7c61b082772613c65940db99dc73fcc8db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34e5dee820839da39981e3f1be29bf5dd8f4818c7b0b8b20289909c00812636",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-14T09:18:19Z",
    "title_canon_sha256": "a814546aa32478ee2af1c0a0d90753cd074e82efc83be1f6c9b368c0dc77faab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03445",
    "kind": "arxiv",
    "version": 1
  }
}