Pith Number

pith:QMHH44IF

pith:2013:QMHH44IF4W6THZH3M53FDAZ3VC

not attested not anchored not stored refs pending

Random compact set meets the graph of nonrandom continuous function

Boris Tsirelson

arxiv:1308.5112 v1 · 2013-08-23 · 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{QMHH44IF4W6THZH3M53FDAZ3VC}

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	2026-05-18T03:15:08.074775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830e7e7105e5bd33e4fb677651833ba89ab0661dbec227bfd9283ccbba36504e

Aliases

arxiv: 1308.5112 · arxiv_version: 1308.5112v1 · doi: 10.48550/arxiv.1308.5112 · pith_short_12: QMHH44IF4W6T · pith_short_16: QMHH44IF4W6THZH3 · pith_short_8: QMHH44IF

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/QMHH44IF4W6THZH3M53FDAZ3VC \
  | 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: 830e7e7105e5bd33e4fb677651833ba89ab0661dbec227bfd9283ccbba36504e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ec11a51b5a287d34994abb03a3a697f1b21507ace7949a0dc9a7920d24af1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-23T12:18:54Z",
    "title_canon_sha256": "a85bfe8b7b4e7779f1560340ed8c1b8d2075c96daaf35785c9d7de619da8645e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5112",
    "kind": "arxiv",
    "version": 1
  }
}