Pith Number

pith:L33M6WTO

pith:2012:L33M6WTOXBTFTMWEDQ7TK6O7R3

not attested not anchored not stored refs pending

Some Affine Invariants Revisited

Alina Stancu

arxiv:1208.0783 v1 · 2012-08-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L33M6WTOXBTFTMWEDQ7TK6O7R3}

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	2026-05-18T03:49:22.823075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef6cf5a6eb86659b2c41c3f3579df8efef8d5a6896b469fe05f4bc756ac8ede

Aliases

arxiv: 1208.0783 · arxiv_version: 1208.0783v1 · doi: 10.48550/arxiv.1208.0783 · pith_short_12: L33M6WTOXBTF · pith_short_16: L33M6WTOXBTFTMWE · pith_short_8: L33M6WTO

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/L33M6WTOXBTFTMWEDQ7TK6O7R3 \
  | 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: 5ef6cf5a6eb86659b2c41c3f3579df8efef8d5a6896b469fe05f4bc756ac8ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ce760b34868610e5acf50f3bb7c0a27f18d5677a66d26245a4ecb5ffed97a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-03T16:03:48Z",
    "title_canon_sha256": "c20a16a70ba0708df34cb1b41eba10523f47fe7a463645e7047b6ca9bfe86edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0783",
    "kind": "arxiv",
    "version": 1
  }
}