Pith Number

pith:YVCVMFDF

pith:2015:YVCVMFDFSGPW6QKK7C2LQTYFXB

not attested not anchored not stored refs pending

Convergence of the Reach for a Sequence of Gaussian-Embedded Manifolds

Jonathan E. Taylor, Robert J. Adler, Shmuel Weinberger, Sunder Ram Krishnan

arxiv:1503.01733 v3 · 2015-03-05 · 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{YVCVMFDFSGPW6QKK7C2LQTYFXB}

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	2026-05-18T01:09:42.274247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c545561465919f6f414af8b4b84f05b858ef5f1fb3aab9bfea27d1711e2fce5d

Aliases

arxiv: 1503.01733 · arxiv_version: 1503.01733v3 · doi: 10.48550/arxiv.1503.01733 · pith_short_12: YVCVMFDFSGPW · pith_short_16: YVCVMFDFSGPW6QKK · pith_short_8: YVCVMFDF

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/YVCVMFDFSGPW6QKK7C2LQTYFXB \
  | 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: c545561465919f6f414af8b4b84f05b858ef5f1fb3aab9bfea27d1711e2fce5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df97e05638547cfabdad2db01f83711e13bfed75d14bb63023bf15d2c1e30689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-05T19:09:30Z",
    "title_canon_sha256": "49475f0363768688a17f4bb70714f73ff94a05a5b29c42d5a65c17dc80119cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01733",
    "kind": "arxiv",
    "version": 3
  }
}