Pith Number

pith:YLWTQGBG

pith:2007:YLWTQGBGOZX627WSR5RLOC4VM4

not attested not anchored not stored refs pending

Knot homology via derived categories of coherent sheaves II, sl(m) case

Joel Kamnitzer, Sabin Cautis

arxiv:0710.3216 v2 · 2007-10-17 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLWTQGBGOZX627WSR5RLOC4VM4}

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	2026-05-18T02:16:10.341675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ed381826766fed7ed28f62b70b956737ee6ca0f65e09108463d2ebdc10877f

Aliases

arxiv: 0710.3216 · arxiv_version: 0710.3216v2 · doi: 10.48550/arxiv.0710.3216 · pith_short_12: YLWTQGBGOZX6 · pith_short_16: YLWTQGBGOZX627WS · pith_short_8: YLWTQGBG

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/YLWTQGBGOZX627WSR5RLOC4VM4 \
  | 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: c2ed381826766fed7ed28f62b70b956737ee6ca0f65e09108463d2ebdc10877f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db6e67cb1334e2b69760e4b912c75f2b942e4542eb6fda0566f5999a4c0053d7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-17T05:13:11Z",
    "title_canon_sha256": "16e9ee7c9b6411530f006b6c327893a0b165dc35c0695128946c4259774f03ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3216",
    "kind": "arxiv",
    "version": 2
  }
}