Pith Number

pith:UCESTBHP

pith:2016:UCESTBHPS5GLIVWVNWDXASZODT

not attested not anchored not stored refs pending

Balancing sums of random vectors

Alex Scott, Bhargav Narayanan, Juhan Aru, Ramarathnam Venkatesan

arxiv:1610.05221 v3 · 2016-10-17 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCESTBHPS5GLIVWVNWDXASZODT}

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	2026-05-18T00:21:35.511824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0892984ef974cb456d56d87704b2e1cee4a89c9ef86695da60fa14891c1cf1b

Aliases

arxiv: 1610.05221 · arxiv_version: 1610.05221v3 · doi: 10.48550/arxiv.1610.05221 · pith_short_12: UCESTBHPS5GL · pith_short_16: UCESTBHPS5GLIVWV · pith_short_8: UCESTBHP

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/UCESTBHPS5GLIVWVNWDXASZODT \
  | 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: a0892984ef974cb456d56d87704b2e1cee4a89c9ef86695da60fa14891c1cf1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac0ddd9fb9e72c93bb581faf801f722b8dc917ed3b64bc1c8c442c687e24087",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-17T17:27:33Z",
    "title_canon_sha256": "0a009ca000f2beed9e8d325161259790fa5b979849f0b35d0b89e754b4bb2f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05221",
    "kind": "arxiv",
    "version": 3
  }
}