Pith Number

pith:6I6BTOQK

pith:2012:6I6BTOQK5AGKJ46YYQVKUFTMTR

not attested not anchored not stored refs pending

On quantized decomposition maps for graded algebras

Maria Chlouveraki (LM-Versailles), Nicolas Jacon (LM-Besan\c{c}on)

arxiv:1208.2714 v1 · 2012-08-13 · 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{6I6BTOQK5AGKJ46YYQVKUFTMTR}

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	2026-05-18T03:48:47.576688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23c19ba0ae80ca4f3d8c42aaa166c9c610f0917316ad2b5aea37d488dde6f57

Aliases

arxiv: 1208.2714 · arxiv_version: 1208.2714v1 · doi: 10.48550/arxiv.1208.2714 · pith_short_12: 6I6BTOQK5AGK · pith_short_16: 6I6BTOQK5AGKJ46Y · pith_short_8: 6I6BTOQK

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/6I6BTOQK5AGKJ46YYQVKUFTMTR \
  | 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: f23c19ba0ae80ca4f3d8c42aaa166c9c610f0917316ad2b5aea37d488dde6f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26b4b0d3a6254eae3f49c61941b72f630094a1a96894ccd10c72ba7274e9cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-13T21:06:34Z",
    "title_canon_sha256": "972450a73b2a6445b5f3023edced1865aac9651f9e6fde5632ae572145be467c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2714",
    "kind": "arxiv",
    "version": 1
  }
}