Pith Number

pith:ZMZ3CC2G

pith:2014:ZMZ3CC2GDY4YLLUZ42RDODZM2G

not attested not anchored not stored refs pending

Even Minkowski Valuations

Franz E. Schuster, Thomas Wannerer

arxiv:1411.1934 v1 · 2014-11-07 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMZ3CC2GDY4YLLUZ42RDODZM2G}

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	2026-05-18T02:38:20.127055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb33b10b461e3985ae99e6a2370f2cd1ba9f5f41de0a49c95023f7d2955e6752

Aliases

arxiv: 1411.1934 · arxiv_version: 1411.1934v1 · doi: 10.48550/arxiv.1411.1934 · pith_short_12: ZMZ3CC2GDY4Y · pith_short_16: ZMZ3CC2GDY4YLLUZ · pith_short_8: ZMZ3CC2G

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/ZMZ3CC2GDY4YLLUZ42RDODZM2G \
  | 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: cb33b10b461e3985ae99e6a2370f2cd1ba9f5f41de0a49c95023f7d2955e6752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86746b155f2c7691d8c2ccfc321bd0ee6596cf9a80d2574fd3c784d3c57e6b25",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-07T14:37:48Z",
    "title_canon_sha256": "998cc525577e005996d1bdaee92ed099cb5fd6e3964b816be931ca9708c421c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1934",
    "kind": "arxiv",
    "version": 1
  }
}