Pith Number

pith:PGRTZBT3

pith:2025:PGRTZBT3XMWKDLGG7NWLO27MLX

not attested not anchored not stored refs pending

Rational invariants of even degree polynomials under the orthogonal group

Henri Breloer

arxiv:2501.17504 v2 · 2025-01-29 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGRTZBT3XMWKDLGG7NWLO27MLX}

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	2026-07-05T10:24:30.402763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a33c867bbb2ca1acc6fb6cb76bec5dfab0bc4a8057842256efbc1ab32ebe99

Aliases

arxiv: 2501.17504 · arxiv_version: 2501.17504v2 · doi: 10.48550/arxiv.2501.17504 · pith_short_12: PGRTZBT3XMWK · pith_short_16: PGRTZBT3XMWKDLGG · pith_short_8: PGRTZBT3

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/PGRTZBT3XMWKDLGG7NWLO27MLX \
  | 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: 79a33c867bbb2ca1acc6fb6cb76bec5dfab0bc4a8057842256efbc1ab32ebe99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20717db5ce617c6eb102fdffd60ee9cdddd2196702da17c05e77741f3514ce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-01-29T09:21:36Z",
    "title_canon_sha256": "bbb06a5ee2773d94c3fcf403880c97400e4832aff68cc197d465d21451fd0868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17504",
    "kind": "arxiv",
    "version": 2
  }
}