Pith Number

pith:QOAC36DD

pith:2012:QOAC36DD235K57ZZ5AU3FXB3OA

not attested not anchored not stored refs pending

SL(n)-Covariant $L_p$-Minkowski Valuations

Lukas Parapatits

arxiv:1209.3980 v2 · 2012-09-18 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOAC36DD235K57ZZ5AU3FXB3OA}

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	2026-05-18T01:37:30.116667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83802df863d6faaeff39e829b2dc3b7018f9133f2d3ee901b4c8528b0ceef9e1

Aliases

arxiv: 1209.3980 · arxiv_version: 1209.3980v2 · doi: 10.48550/arxiv.1209.3980 · pith_short_12: QOAC36DD235K · pith_short_16: QOAC36DD235K57ZZ · pith_short_8: QOAC36DD

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/QOAC36DD235K57ZZ5AU3FXB3OA \
  | 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: 83802df863d6faaeff39e829b2dc3b7018f9133f2d3ee901b4c8528b0ceef9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3739379ccf589658dc4299062994f66fbbe056cc3ed500880b5253c0b73acfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-18T14:42:11Z",
    "title_canon_sha256": "77e45f76dd1c26f3bc7146fcf78345a730f1b29befa39b0a7d645bd7ac65c72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3980",
    "kind": "arxiv",
    "version": 2
  }
}