Pith Number

pith:ASDXSJKH

pith:2011:ASDXSJKHMDQ7SKZFUT4USGFT6X

not attested not anchored not stored refs pending

On the density of the supremum of a stable process

Alexey Kuznetsov

arxiv:1112.4208 v1 · 2011-12-19 · 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{ASDXSJKHMDQ7SKZFUT4USGFT6X}

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	2026-05-18T04:06:06.835589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048779254760e1f92b25a4f94918b3f5eabf4b7f8bd650ee9d1b326cbb801ecb

Aliases

arxiv: 1112.4208 · arxiv_version: 1112.4208v1 · doi: 10.48550/arxiv.1112.4208 · pith_short_12: ASDXSJKHMDQ7 · pith_short_16: ASDXSJKHMDQ7SKZF · pith_short_8: ASDXSJKH

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/ASDXSJKHMDQ7SKZFUT4USGFT6X \
  | 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: 048779254760e1f92b25a4f94918b3f5eabf4b7f8bd650ee9d1b326cbb801ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4cf8a4eac942144b6882b6b153a2231106ccbb28f4e8ed3427057f83356ea2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-19T00:47:26Z",
    "title_canon_sha256": "986ad3e3b005ae43286f632525fc3f1ec17cdc4b4ceb2a9c3f9b4df45e2e1565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4208",
    "kind": "arxiv",
    "version": 1
  }
}