Pith Number

pith:RTEFGWWO

pith:2016:RTEFGWWOHYAP5O6SPNSXUNS76L

not attested not anchored not stored refs pending

Parabolic Kazhdan-Lusztig basis, Schubert classes, and equivariant oriented cohomology

Changlong Zhong, Cristian Lenart, Kirill Zainoulline

arxiv:1608.06554 v1 · 2016-08-23 · math.AG · math.CO · 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{RTEFGWWOHYAP5O6SPNSXUNS76L}

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	2026-05-18T01:08:13.786648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc8535ace3e00febbd27b657a365ff2cb387de25610582cc4d03badc1b30ae0

Aliases

arxiv: 1608.06554 · arxiv_version: 1608.06554v1 · doi: 10.48550/arxiv.1608.06554 · pith_short_12: RTEFGWWOHYAP · pith_short_16: RTEFGWWOHYAP5O6S · pith_short_8: RTEFGWWO

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/RTEFGWWOHYAP5O6SPNSXUNS76L \
  | 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: 8cc8535ace3e00febbd27b657a365ff2cb387de25610582cc4d03badc1b30ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28000bb1ba9c17297e167b5d4d914f0230a0c8c76552cf4b1ca332f6ff14512",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-23T15:50:59Z",
    "title_canon_sha256": "88cbf06dbd704bccac5e273b2ee7c36538babc7c746b7ea047450804dadec939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06554",
    "kind": "arxiv",
    "version": 1
  }
}