Pith Number

pith:I273RRBQ

pith:2016:I273RRBQ5KESJMEEH5OXWWADPT

not attested not anchored not stored refs pending

G-Graded Central Polynomials and G-Graded Posner's Theorem

Yakov Karasik

arxiv:1610.03977 v1 · 2016-10-13 · 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{I273RRBQ5KESJMEEH5OXWWADPT}

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	2026-05-18T01:02:22.820581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46bfb8c430ea8924b0843f5d7b58037cc6b59be04a59c6ed5af0b0b82f362746

Aliases

arxiv: 1610.03977 · arxiv_version: 1610.03977v1 · doi: 10.48550/arxiv.1610.03977 · pith_short_12: I273RRBQ5KES · pith_short_16: I273RRBQ5KESJMEE · pith_short_8: I273RRBQ

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/I273RRBQ5KESJMEEH5OXWWADPT \
  | 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: 46bfb8c430ea8924b0843f5d7b58037cc6b59be04a59c6ed5af0b0b82f362746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75dbd9a2433985d7062b65d32ca2971d7c7821f872ab4adf1eca91f751b9e0be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-10-13T08:37:17Z",
    "title_canon_sha256": "54eea83a60159d9c2b02854e14e0fd74f71338c8c7543e9c3c7817e678db272a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03977",
    "kind": "arxiv",
    "version": 1
  }
}