Pith Number

pith:2MMMSR63

pith:2017:2MMMSR63YJ4TVKPASRFHXF7AOW

not attested not anchored not stored refs pending

Hecke-Hopf algebras

Arkady Berenstein, David Kazhdan

arxiv:1701.02076 v6 · 2017-01-09 · math.QA · math.RA · 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{2MMMSR63YJ4TVKPASRFHXF7AOW}

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	2026-05-17T23:43:09.645192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d318c947dbc2793aa9e0944a7b97e075be4c0c10366e64058cfb3d681d787862

Aliases

arxiv: 1701.02076 · arxiv_version: 1701.02076v6 · doi: 10.48550/arxiv.1701.02076 · pith_short_12: 2MMMSR63YJ4T · pith_short_16: 2MMMSR63YJ4TVKPA · pith_short_8: 2MMMSR63

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/2MMMSR63YJ4TVKPASRFHXF7AOW \
  | 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: d318c947dbc2793aa9e0944a7b97e075be4c0c10366e64058cfb3d681d787862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9b3946571192bd2b867054d6b8123a5dc2d4fe5bd12a11f8e1b1fb80330fcc",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-01-09T06:58:16Z",
    "title_canon_sha256": "727fe05068afe073c7f50015d2d6348117be8f5a54d2e824e8f84b6a370a4c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02076",
    "kind": "arxiv",
    "version": 6
  }
}