Pith Number

pith:B2ZSIAOI

pith:2016:B2ZSIAOIUVYD5V742LB7AOLOKC

not attested not anchored not stored refs pending

The half plane UIPT is recurrent

Gourab Ray, Omer Angel

arxiv:1601.00410 v1 · 2016-01-04 · 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{B2ZSIAOIUVYD5V742LB7AOLOKC}

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	2026-05-18T01:23:27.520029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb32401c8a5703ed7fcd2c3f0396e50b9911a1ac715293e0c5bb743844027df

Aliases

arxiv: 1601.00410 · arxiv_version: 1601.00410v1 · doi: 10.48550/arxiv.1601.00410 · pith_short_12: B2ZSIAOIUVYD · pith_short_16: B2ZSIAOIUVYD5V74 · pith_short_8: B2ZSIAOI

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/B2ZSIAOIUVYD5V742LB7AOLOKC \
  | 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: 0eb32401c8a5703ed7fcd2c3f0396e50b9911a1ac715293e0c5bb743844027df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38865acb7a254cfce9468d0614da8cbfd430c85f00224af06eb29cc2f8a3739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-04T08:23:35Z",
    "title_canon_sha256": "7f090bff7f459a9d17580564f7f12e2d3ad808a19c5d96a6291f6b3b9bfe1653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00410",
    "kind": "arxiv",
    "version": 1
  }
}