Pith Number

pith:QMB7V5HZ

pith:2016:QMB7V5HZJBYR4RG6CBPOJNWFHM

not attested not anchored not stored refs pending

Random reflections in a high dimensional tube

Krzysztof Burdzy, Tvrtko Tadi\'c

arxiv:1601.07973 v2 · 2016-01-29 · math.PR · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMB7V5HZJBYR4RG6CBPOJNWFHM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:11:41.161301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8303faf4f948711e44de105ee4b6c53b09da8783020387f111a4c5d013d2b43b

Aliases

arxiv: 1601.07973 · arxiv_version: 1601.07973v2 · doi: 10.48550/arxiv.1601.07973 · pith_short_12: QMB7V5HZJBYR · pith_short_16: QMB7V5HZJBYR4RG6 · pith_short_8: QMB7V5HZ

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/QMB7V5HZJBYR4RG6CBPOJNWFHM \
  | 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: 8303faf4f948711e44de105ee4b6c53b09da8783020387f111a4c5d013d2b43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "083ce6b963ce08028b0a11e0d594061e75b6c4ef9c6254fd4925172b48efe033",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-29T03:35:26Z",
    "title_canon_sha256": "26760515588778a2869435ef81c4e62bd1860c1c75fd80c6bb0f121eb616acfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07973",
    "kind": "arxiv",
    "version": 2
  }
}