Pith Number

pith:A7NLEKFT

pith:2013:A7NLEKFT3CSHYE7MJCQCT4TOIY

not attested not anchored not stored refs pending

If $B$ and $f(B)$ are Brownian motions, then $f$ is affine

Michael R. Tehranchi

arxiv:1307.3155 v3 · 2013-07-11 · 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{A7NLEKFT3CSHYE7MJCQCT4TOIY}

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	2026-05-18T00:40:24.703496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07dab228b3d8a47c13ec48a029f26e460e6a24abbc2ddce5c1d1af3500f4f639

Aliases

arxiv: 1307.3155 · arxiv_version: 1307.3155v3 · doi: 10.48550/arxiv.1307.3155 · pith_short_12: A7NLEKFT3CSH · pith_short_16: A7NLEKFT3CSHYE7M · pith_short_8: A7NLEKFT

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/A7NLEKFT3CSHYE7MJCQCT4TOIY \
  | 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: 07dab228b3d8a47c13ec48a029f26e460e6a24abbc2ddce5c1d1af3500f4f639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ec7ce6e878be25092715dd397a3033a0d8700d190246889203e6cf02c7e96c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-11T16:00:36Z",
    "title_canon_sha256": "ee44216178ebea626e6ddc7eb4fadd4c8ddd28d8a7f3e5032c52fdab498c4529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3155",
    "kind": "arxiv",
    "version": 3
  }
}