Pith Number

pith:32CLHJQS

pith:2010:32CLHJQS3SWBX3YXGP7XJOFDWM

not attested not anchored not stored refs pending

A $q$-Identity Related to a Comodule

Andrea Jedwab, Susan Montgomery

arxiv:1011.2588 v1 · 2010-11-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32CLHJQS3SWBX3YXGP7XJOFDWM}

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	2026-05-18T04:36:09.971114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de84b3a612dcac1bef1733ff74b8a3b32efbbd0648fdbcd424d509df29fea2a5

Aliases

arxiv: 1011.2588 · arxiv_version: 1011.2588v1 · doi: 10.48550/arxiv.1011.2588 · pith_short_12: 32CLHJQS3SWB · pith_short_16: 32CLHJQS3SWBX3YX · pith_short_8: 32CLHJQS

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/32CLHJQS3SWBX3YXGP7XJOFDWM \
  | 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: de84b3a612dcac1bef1733ff74b8a3b32efbbd0648fdbcd424d509df29fea2a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6e71011bebd9ffe2c3a7559f6e6e947db2b213e500dcbd0be971d4f27b178b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-11T07:47:23Z",
    "title_canon_sha256": "5a1529eea68667a268b29e7444c7554854515daa51c32ddf7b220823d6fde3fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2588",
    "kind": "arxiv",
    "version": 1
  }
}