Pith Number

pith:MWMANPE2

pith:2012:MWMANPE2T2CEFZ2O5JTRYGKMY7

not attested not anchored not stored refs pending

Schur times Schubert via the Fomin-Kirillov algebra

Alexander Postnikov, Greta Panova, Karola Meszaros

arxiv:1210.1295 v3 · 2012-10-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWMANPE2T2CEFZ2O5JTRYGKMY7}

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	2026-05-18T03:03:32.562500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659806bc9a9e8442e74eea671c194cc7c80fda6d29b016ef80056976859d9ac8

Aliases

arxiv: 1210.1295 · arxiv_version: 1210.1295v3 · doi: 10.48550/arxiv.1210.1295 · pith_short_12: MWMANPE2T2CE · pith_short_16: MWMANPE2T2CEFZ2O · pith_short_8: MWMANPE2

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/MWMANPE2T2CEFZ2O5JTRYGKMY7 \
  | 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: 659806bc9a9e8442e74eea671c194cc7c80fda6d29b016ef80056976859d9ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f9085f8bd4f5e79ca6aa20ed3fcb7bee71925dc5ea5c306a20d4ce827cf308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-04T04:57:50Z",
    "title_canon_sha256": "0b4224cc47aaad61d4b1c7575de8440f435baeab48d5d2c374fdcdf62bad12af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1295",
    "kind": "arxiv",
    "version": 3
  }
}