Pith Number

pith:G5VZAIFT

pith:2017:G5VZAIFT76YZ6QRV55YFQXPQEG

not attested not anchored not stored refs pending

A Demazure crystal construction for Schubert polynomials

Anne Schilling, Sami Assaf

arxiv:1705.09649 v2 · 2017-05-26 · math.CO · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5VZAIFT76YZ6QRV55YFQXPQEG}

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	2026-05-18T00:05:51.327677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376b9020b3ffb19f4235ef70585df021832606b511ad4cdaf6baecc67e70a896

Aliases

arxiv: 1705.09649 · arxiv_version: 1705.09649v2 · doi: 10.48550/arxiv.1705.09649 · pith_short_12: G5VZAIFT76YZ · pith_short_16: G5VZAIFT76YZ6QRV · pith_short_8: G5VZAIFT

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/G5VZAIFT76YZ6QRV55YFQXPQEG \
  | 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: 376b9020b3ffb19f4235ef70585df021832606b511ad4cdaf6baecc67e70a896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7442a633dfc2b5c5cb877c78f1b577f15e64eb5b357a39160ef4d3bf7586da",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-26T17:16:22Z",
    "title_canon_sha256": "23f1657b0a7e434d28ef72213ee3d736d02873f405fe4ff1ca0da804d5e71d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09649",
    "kind": "arxiv",
    "version": 2
  }
}