Pith Number

pith:PIUJKVCJ

pith:2015:PIUJKVCJISRPKPX3FECRKCUIGU

not attested not anchored not stored refs pending

Soergel calculus and Schubert calculus

Geordie Williamson, Xuhua He

arxiv:1502.04914 v2 · 2015-02-17 · 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{PIUJKVCJISRPKPX3FECRKCUIGU}

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	2026-05-18T01:15:38.804893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2895544944a2f53efb2905150a883522424704a26fbce5ba5af6b754124fc7

Aliases

arxiv: 1502.04914 · arxiv_version: 1502.04914v2 · doi: 10.48550/arxiv.1502.04914 · pith_short_12: PIUJKVCJISRP · pith_short_16: PIUJKVCJISRPKPX3 · pith_short_8: PIUJKVCJ

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/PIUJKVCJISRPKPX3FECRKCUIGU \
  | 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: 7a2895544944a2f53efb2905150a883522424704a26fbce5ba5af6b754124fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebbbadfdcc8ed29970de0f8eee1d8d47c73874e5a6d5aceb030b0e159cc79cdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-02-17T15:03:38Z",
    "title_canon_sha256": "c3e29f07426aed7e04c587e69d6fe285eb479f95f1a905719d34c5a3ae6eae7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04914",
    "kind": "arxiv",
    "version": 2
  }
}