Pith Number

pith:5I4F2OHM

pith:2012:5I4F2OHMTCGXETBCYAMWILMQL2

not attested not anchored not stored refs pending

Clasp technology to knot homology via the affine Grassmannian

Sabin Cautis

arxiv:1207.2074 v3 · 2012-07-09 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5I4F2OHMTCGXETBCYAMWILMQL2}

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.

Cited by

1 paper in Pith

Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic

Receipt and verification

First computed	2026-05-18T02:43:45.735163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea385d38ec988d724c22c019642d905eab10a83c5183d477d7cb7003f8fa7069

Aliases

arxiv: 1207.2074 · arxiv_version: 1207.2074v3 · doi: 10.48550/arxiv.1207.2074 · pith_short_12: 5I4F2OHMTCGX · pith_short_16: 5I4F2OHMTCGXETBC · pith_short_8: 5I4F2OHM

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/5I4F2OHMTCGXETBCYAMWILMQL2 \
  | 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: ea385d38ec988d724c22c019642d905eab10a83c5183d477d7cb7003f8fa7069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1592249fa93cc287a8167dc22f1bb1bba74d0efa57ebc04b1f5c70befe70918a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-09T15:18:06Z",
    "title_canon_sha256": "db5015ea541bc35714c97d74be088bd4782831490acb77e174b4ea39f78bf5d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2074",
    "kind": "arxiv",
    "version": 3
  }
}