Pith Number

pith:VVPIENJN

pith:2013:VVPIENJNO3LS744PQRIEU4WZVZ

not attested not anchored not stored refs pending

Gaussian measures on the of space of Riemannian metrics

Brian Clarke, Dmitry Jakobson, Jonathan Taylor, Lior Silberman, Niky Kamran, Yaiza Canzani

arxiv:1309.1348 v3 · 2013-09-05 · math.DG · 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{VVPIENJNO3LS744PQRIEU4WZVZ}

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	2026-05-18T01:33:57.207576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5e82352d76d72ff38f84504a72d9ae44d172d937dadd27355104e2d085ea04

Aliases

arxiv: 1309.1348 · arxiv_version: 1309.1348v3 · doi: 10.48550/arxiv.1309.1348 · pith_short_12: VVPIENJNO3LS · pith_short_16: VVPIENJNO3LS744P · pith_short_8: VVPIENJN

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/VVPIENJNO3LS744PQRIEU4WZVZ \
  | 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: ad5e82352d76d72ff38f84504a72d9ae44d172d937dadd27355104e2d085ea04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9245151e9600b6d2c357354a7307981af223533b805910d18a9bbe8283eba7b0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-05T13:50:32Z",
    "title_canon_sha256": "999e8e8ab85b6878db37527548e0656de0c92aa7d2b24165b32b1489ee41d789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1348",
    "kind": "arxiv",
    "version": 3
  }
}