Pith Number

pith:HT7FWP5O

pith:2012:HT7FWP5OK4RZC5ZD5D4F7UESLW

not attested not anchored not stored refs pending

Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields

Dmitry Zaporozhets, Zakhar Kabluchko

arxiv:1206.0371 v1 · 2012-06-02 · math.PR · 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{HT7FWP5OK4RZC5ZD5D4F7UESLW}

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	2026-05-18T03:54:25.131870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfe5b3fae5723917723e8f85fd0925d8bfac989b70df3cc6582b4877ec68586

Aliases

arxiv: 1206.0371 · arxiv_version: 1206.0371v1 · doi: 10.48550/arxiv.1206.0371 · pith_short_12: HT7FWP5OK4RZ · pith_short_16: HT7FWP5OK4RZC5ZD · pith_short_8: HT7FWP5O

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/HT7FWP5OK4RZC5ZD5D4F7UESLW \
  | 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: 3cfe5b3fae5723917723e8f85fd0925d8bfac989b70df3cc6582b4877ec68586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca395c78019806ffc66ebb2e194404b0a55c1fb681244064f68e0d7e5d59bea5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-02T12:24:01Z",
    "title_canon_sha256": "9129fa4f335657dac9b949b76acb6b45588b2e8bcf01020a151010173782dc3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0371",
    "kind": "arxiv",
    "version": 1
  }
}