Pith Number

pith:U54L3IW2

pith:2015:U54L3IW2WLP6K2EVLDUNY75CDW

not attested not anchored not stored refs pending

Minimax of an n-dimensional Brownian motion

Konstantin Tikhomirov, Pierre Youssef

arxiv:1504.01778 v1 · 2015-04-07 · 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{U54L3IW2WLP6K2EVLDUNY75CDW}

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	2026-05-18T02:19:18.402749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a778bda2dab2dfe5689558e8dc7fa21d9c94685c11d3f42cf112dc6cb87eceef

Aliases

arxiv: 1504.01778 · arxiv_version: 1504.01778v1 · doi: 10.48550/arxiv.1504.01778 · pith_short_12: U54L3IW2WLP6 · pith_short_16: U54L3IW2WLP6K2EV · pith_short_8: U54L3IW2

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/U54L3IW2WLP6K2EVLDUNY75CDW \
  | 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: a778bda2dab2dfe5689558e8dc7fa21d9c94685c11d3f42cf112dc6cb87eceef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d04163c59c5f09bc19aa484dc697712e32f94ed29a7ea4de25bbb5516e39a16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-07T23:19:54Z",
    "title_canon_sha256": "e473837b479329666fe8e3c9081796277e19a688b84fbf7b9d845612e3c9a206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01778",
    "kind": "arxiv",
    "version": 1
  }
}