Pith Number

pith:NLUNLQMJ

pith:2013:NLUNLQMJTZARFTYKXZ5A2OEFWQ

not attested not anchored not stored refs pending

Minkowski valuations in a 2-dimensional complex vector space

Judit Abardia

arxiv:1306.2137 v1 · 2013-06-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLUNLQMJTZARFTYKXZ5A2OEFWQ}

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	2026-05-18T02:25:19.974231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae8d5c1899e4112cf0abe7a0d3885b40d45829fc18595f0497854fa2f65d536

Aliases

arxiv: 1306.2137 · arxiv_version: 1306.2137v1 · doi: 10.48550/arxiv.1306.2137 · pith_short_12: NLUNLQMJTZAR · pith_short_16: NLUNLQMJTZARFTYK · pith_short_8: NLUNLQMJ

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/NLUNLQMJTZARFTYKXZ5A2OEFWQ \
  | 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: 6ae8d5c1899e4112cf0abe7a0d3885b40d45829fc18595f0497854fa2f65d536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe137b7b8ac8094cd4859fe37cc0968f62724c826b611e35b2bbcb8970870a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-10T08:38:16Z",
    "title_canon_sha256": "c7aaf2ba3c0c41df22a1c5a38500a211dd2893b9107542c075604b6eb4c4a905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2137",
    "kind": "arxiv",
    "version": 1
  }
}