Pith Number

pith:YPRCEKQE

pith:2008:YPRCEKQEWASPUGJBK4OCXZ3HOO

not attested not anchored not stored refs pending

Springer representations on the Khovanov Springer varieties

Heather M. Russell, Julianna S. Tymoczko

arxiv:0811.0650 v1 · 2008-11-05 · math.AT · math.GT · 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{YPRCEKQEWASPUGJBK4OCXZ3HOO}

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	2026-05-18T02:15:22.209942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e2222a04b024fa1921571c2be76773892d992485d26ff921d83a476a4f9b5b

Aliases

arxiv: 0811.0650 · arxiv_version: 0811.0650v1 · doi: 10.48550/arxiv.0811.0650 · pith_short_12: YPRCEKQEWASP · pith_short_16: YPRCEKQEWASPUGJB · pith_short_8: YPRCEKQE

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/YPRCEKQEWASPUGJBK4OCXZ3HOO \
  | 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: c3e2222a04b024fa1921571c2be76773892d992485d26ff921d83a476a4f9b5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289c2fcee13fe3a91e09b14b88578638bbf5034b81963b60e60fb6b5a9f5e1e8",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-11-05T05:06:23Z",
    "title_canon_sha256": "469c33f5b94f75de2acdfd02aa7fcd590be5760fa226b503a3aa7fd40b39a726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0650",
    "kind": "arxiv",
    "version": 1
  }
}