Pith Number

pith:PBOTCJ43

pith:2014:PBOTCJ43HENJUJ3WJITC5YEDOP

not attested not anchored not stored refs pending

Intrinsic volumes of set of singular matrices

Antonio Lerario

arxiv:1401.4853 v1 · 2014-01-20 · math.DG · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBOTCJ43HENJUJ3WJITC5YEDOP}

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	2026-05-18T03:01:44.296358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785d31279b391a9a27764a262ee08373f2fd6c6d1ba7af2579ece9b79a5241f8

Aliases

arxiv: 1401.4853 · arxiv_version: 1401.4853v1 · doi: 10.48550/arxiv.1401.4853 · pith_short_12: PBOTCJ43HENJ · pith_short_16: PBOTCJ43HENJUJ3W · pith_short_8: PBOTCJ43

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/PBOTCJ43HENJUJ3WJITC5YEDOP \
  | 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: 785d31279b391a9a27764a262ee08373f2fd6c6d1ba7af2579ece9b79a5241f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524fb11e1368c8d26ff41d728ea5dfd93585a941dc5b28c78a6d29b4a4676279",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-20T10:28:22Z",
    "title_canon_sha256": "2a67f2501b75c5b635f7a55b678cf4837b6055b3e2f106084ed7648a73737850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4853",
    "kind": "arxiv",
    "version": 1
  }
}