Pith Number

pith:YOTAXXHO

pith:2012:YOTAXXHOTS3DMMWNEXC2EGEL7Z

not attested not anchored not stored refs pending

Invariant polynomial functions on tensors under the action of a product of orthogonal groups

Lauren Kelly Williams

arxiv:1209.5117 v1 · 2012-09-23 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOTAXXHOTS3DMMWNEXC2EGEL7Z}

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	2026-05-18T03:44:59.191641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a60bdcee9cb63632cd25c5a2188bfe577ac373f067c36343cac444aa3b0a2e

Aliases

arxiv: 1209.5117 · arxiv_version: 1209.5117v1 · doi: 10.48550/arxiv.1209.5117 · pith_short_12: YOTAXXHOTS3D · pith_short_16: YOTAXXHOTS3DMMWN · pith_short_8: YOTAXXHO

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/YOTAXXHOTS3DMMWNEXC2EGEL7Z \
  | 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: c3a60bdcee9cb63632cd25c5a2188bfe577ac373f067c36343cac444aa3b0a2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049af4e96a25362c8828b37c90e665813ed416279328c14eca0554fa210579f5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-23T21:52:04Z",
    "title_canon_sha256": "ca1acea38c3c2cf223124aace726b0f85f5672e78cda33bc563f1bcbaeffefcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5117",
    "kind": "arxiv",
    "version": 1
  }
}