Pith Number

pith:I3A32OIO

pith:2016:I3A32OIOBV3UPGOTOKD2YOFE6J

not attested not anchored not stored refs pending

Comultiplication for shifted Yangians and quantum open Toda lattice

Alex Weekes, Joel Kamnitzer, Khoa Pham, Leonid Rybnikov, Michael Finkelberg

arxiv:1608.03331 v4 · 2016-08-11 · math.RT · 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{I3A32OIOBV3UPGOTOKD2YOFE6J}

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	2026-05-18T00:41:18.301792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c1bd390e0d774799d37287ac38a4f2412acb377465577b01272da1e4973484

Aliases

arxiv: 1608.03331 · arxiv_version: 1608.03331v4 · doi: 10.48550/arxiv.1608.03331 · pith_short_12: I3A32OIOBV3U · pith_short_16: I3A32OIOBV3UPGOT · pith_short_8: I3A32OIO

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/I3A32OIOBV3UPGOTOKD2YOFE6J \
  | 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: 46c1bd390e0d774799d37287ac38a4f2412acb377465577b01272da1e4973484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f95aee3023416fc785c6a26103f082735b07c43e5574f95e61a649a8d2122aff",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-11T00:46:00Z",
    "title_canon_sha256": "83d989c0a85fb865e8c01dca91661982d113dc115b28fcab7979f465ad1f1025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03331",
    "kind": "arxiv",
    "version": 4
  }
}