Pith Number

pith:2O7HNPCG

pith:2005:2O7HNPCGD5PG2TL6QQSYYR4C3R

not attested not anchored not stored refs pending

Braided Symmetric and Exterior Algebras

Arkady Berenstein, Sebastian Zwicknagl

arxiv:math/0504155 v4 · 2005-04-07 · math.QA · 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{2O7HNPCGD5PG2TL6QQSYYR4C3R}

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

On a symplectic quantum Howe duality

Receipt and verification

First computed	2026-07-04T15:05:14.502707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3be76bc461f5e6d4d7e84258c4782dc5c1b26ccd0049cab6924b6f958f9f6bf

Aliases

arxiv: math/0504155 · arxiv_version: math/0504155v4 · doi: 10.48550/arxiv.math/0504155 · pith_short_12: 2O7HNPCGD5PG · pith_short_16: 2O7HNPCGD5PG2TL6 · pith_short_8: 2O7HNPCG

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/2O7HNPCGD5PG2TL6QQSYYR4C3R \
  | 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: d3be76bc461f5e6d4d7e84258c4782dc5c1b26ccd0049cab6924b6f958f9f6bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "503ebbb640cf7598fa36c8caaefbc925c48553507d7bbfa2d45bc2070cc34906",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-04-07T19:31:28Z",
    "title_canon_sha256": "992d40db2f4216691ea813e5efd4fab57a68e7572510e47548382b36e4096431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504155",
    "kind": "arxiv",
    "version": 4
  }
}