Pith Number

pith:WWF4BONT

pith:2014:WWF4BONT366YMDG7NIZTHWVYUG

not attested not anchored not stored refs pending

Successive Radii and Ball Operators in Generalized Minkowski Spaces

Thomas Jahn

arxiv:1411.1628 v2 · 2014-11-06 · 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{WWF4BONT366YMDG7NIZTHWVYUG}

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	2026-05-18T02:19:00.829505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58bc0b9b3dfbd860cdf6a3333dab8a19e8b0593f7a8e1ecf2aa88bd876c064c

Aliases

arxiv: 1411.1628 · arxiv_version: 1411.1628v2 · doi: 10.48550/arxiv.1411.1628 · pith_short_12: WWF4BONT366Y · pith_short_16: WWF4BONT366YMDG7 · pith_short_8: WWF4BONT

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/WWF4BONT366YMDG7NIZTHWVYUG \
  | 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: b58bc0b9b3dfbd860cdf6a3333dab8a19e8b0593f7a8e1ecf2aa88bd876c064c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fed867f1b5a86cb89b59d725ff43dff221362fac6df85838707b0ed42aec867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-06T14:38:33Z",
    "title_canon_sha256": "b745f04a55f2103354ba4d1fc0f4e603c9b9fac8b2d8d62b8e7ee8ce89b4c18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1628",
    "kind": "arxiv",
    "version": 2
  }
}