Pith Number

pith:ALKM77EF

pith:2013:ALKM77EFFUYP2B42B7G7AZGXGG

not attested not anchored not stored refs pending

A diagram algebra for Soergel modules corresponding to smooth Schubert varieties

Antonio Sartori

arxiv:1311.6968 v1 · 2013-11-27 · math.RT · 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{ALKM77EFFUYP2B42B7G7AZGXGG}

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	2026-05-18T03:06:04.416453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d4cffc852d30fd079a0fcdf064d7318d42bbb9c72188a99fdd5d34471aa1bd

Aliases

arxiv: 1311.6968 · arxiv_version: 1311.6968v1 · doi: 10.48550/arxiv.1311.6968 · pith_short_12: ALKM77EFFUYP · pith_short_16: ALKM77EFFUYP2B42 · pith_short_8: ALKM77EF

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/ALKM77EFFUYP2B42B7G7AZGXGG \
  | 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: 02d4cffc852d30fd079a0fcdf064d7318d42bbb9c72188a99fdd5d34471aa1bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85023eb5af1d4d08a1929a3435acca7f6f274ceac682fd94b7c33283457f0d7b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-27T13:38:52Z",
    "title_canon_sha256": "674921a904f9d3711966fa4e1b08d70e1a649d3143ba66fade6733233515b5d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6968",
    "kind": "arxiv",
    "version": 1
  }
}