Pith Number

pith:BCZJ5X2M

pith:2015:BCZJ5X2MZR5GVPD2TI7TMZUTKR

not attested not anchored not stored refs pending

Minkowski Valuations and Generalized Valuations

Franz E. Schuster, Thomas Wannerer

arxiv:1507.05412 v1 · 2015-07-20 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCZJ5X2MZR5GVPD2TI7TMZUTKR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:36:36.869610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b29edf4ccc7a6abc7a9a3f366693544125554a12de9b80399b19a21557e7a1

Aliases

arxiv: 1507.05412 · arxiv_version: 1507.05412v1 · doi: 10.48550/arxiv.1507.05412 · pith_short_12: BCZJ5X2MZR5G · pith_short_16: BCZJ5X2MZR5GVPD2 · pith_short_8: BCZJ5X2M

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/BCZJ5X2MZR5GVPD2TI7TMZUTKR \
  | 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: 08b29edf4ccc7a6abc7a9a3f366693544125554a12de9b80399b19a21557e7a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a5a09fdd15b010d2d9875ddb115e2a5b0ec00149fa7df497792231e4e06ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-20T08:14:15Z",
    "title_canon_sha256": "80aea773023b0ffcf868b92a9224895b94a68b923c33506db9d5dc0cc0ee4a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05412",
    "kind": "arxiv",
    "version": 1
  }
}