Pith Number

pith:O2U5MA6U

pith:2012:O2U5MA6U6KY4U3SX7TPYKIWHDO

not attested not anchored not stored refs pending

Multialternating graded polynomials and growth of polynomial identities

Antonio Giambruno, Eli Aljadeff

arxiv:1204.3159 v1 · 2012-04-14 · 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{O2U5MA6U6KY4U3SX7TPYKIWHDO}

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	2026-05-18T03:57:52.432476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a9d603d4f2b1ca6e57fcdf8522c71b8fa4ab54cbe8f580d933b4e5e49b9929

Aliases

arxiv: 1204.3159 · arxiv_version: 1204.3159v1 · doi: 10.48550/arxiv.1204.3159 · pith_short_12: O2U5MA6U6KY4 · pith_short_16: O2U5MA6U6KY4U3SX · pith_short_8: O2U5MA6U

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/O2U5MA6U6KY4U3SX7TPYKIWHDO \
  | 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: 76a9d603d4f2b1ca6e57fcdf8522c71b8fa4ab54cbe8f580d933b4e5e49b9929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2688e5a9b5000592d24558a6890248d24a90915909c963c79f8597121fe23f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-04-14T10:18:53Z",
    "title_canon_sha256": "a2c49a37125ce687f73b6dbf509a215f6038e7e9824e599041c8c49ea1b95f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3159",
    "kind": "arxiv",
    "version": 1
  }
}