Pith Number

pith:22PNNIHL

pith:2017:22PNNIHLZTLVMBWM5OSP24LQ3B

not attested not anchored not stored refs pending

Modules over plane curve singularities in any ranks and DAHA

Ian Philipp, Ivan Cherednik

arxiv:1711.07605 v2 · 2017-11-21 · math.QA · math.AG · 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{22PNNIHLZTLVMBWM5OSP24LQ3B}

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	2026-05-17T23:59:58.227413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d69ed6a0ebccd75606cceba4fd7170d8722afb23cc7d9b9f8456c959bf7e4d0a

Aliases

arxiv: 1711.07605 · arxiv_version: 1711.07605v2 · doi: 10.48550/arxiv.1711.07605 · pith_short_12: 22PNNIHLZTLV · pith_short_16: 22PNNIHLZTLVMBWM · pith_short_8: 22PNNIHL

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/22PNNIHLZTLVMBWM5OSP24LQ3B \
  | 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: d69ed6a0ebccd75606cceba4fd7170d8722afb23cc7d9b9f8456c959bf7e4d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aae1289ca2cf4655ed3563957ee3986b2e46d8ceae4e9b0f20d4a79e71ec530",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-11-21T02:22:01Z",
    "title_canon_sha256": "4e5732a42b48d5b1f0ef4df5d58baf64e35aa3d645e84cdf4f244d4e3df3eca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07605",
    "kind": "arxiv",
    "version": 2
  }
}