Pith Number

pith:KGFCMXFA

pith:2015:KGFCMXFAEIXE5JKWGTOE3JIW3M

not attested not anchored not stored refs pending

Random points in halfspheres

Daniel Hug, Imre B\'ar\'any, Matthias Reitzner, Rolf Schneider

arxiv:1505.04672 v1 · 2015-05-18 · math.PR · 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{KGFCMXFAEIXE5JKWGTOE3JIW3M}

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	2026-05-18T02:07:24.881555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

518a265ca0222e4ea55634dc4da516db39e2f7a3e397844dc74590f27f9b01ca

Aliases

arxiv: 1505.04672 · arxiv_version: 1505.04672v1 · doi: 10.48550/arxiv.1505.04672 · pith_short_12: KGFCMXFAEIXE · pith_short_16: KGFCMXFAEIXE5JKW · pith_short_8: KGFCMXFA

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/KGFCMXFAEIXE5JKWGTOE3JIW3M \
  | 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: 518a265ca0222e4ea55634dc4da516db39e2f7a3e397844dc74590f27f9b01ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8170cec1c2fd86862d7f2e65f5e2483f29e9b2711e10408f0233aea924ed8f99",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-18T15:09:03Z",
    "title_canon_sha256": "eb5e5c7837b780405a654123c9b5badc3d41edbc2fcb66c5b2a4fc1836df7b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04672",
    "kind": "arxiv",
    "version": 1
  }
}