Pith Number

pith:RN2CW2X4

pith:2015:RN2CW2X4FTIDSE3X4R2FQZ3WYB

not attested not anchored not stored refs pending

Distributional Boundary Values: Some New Perspectives

Debraj Chakrabarti, Rasul Shafikov

arxiv:1511.01374 v1 · 2015-11-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RN2CW2X4FTIDSE3X4R2FQZ3WYB}

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	2026-05-18T01:27:47.313308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b742b6afc2cd0391377e474586776c0636d57d52c4959a7e83874b1bbe26852

Aliases

arxiv: 1511.01374 · arxiv_version: 1511.01374v1 · doi: 10.48550/arxiv.1511.01374 · pith_short_12: RN2CW2X4FTID · pith_short_16: RN2CW2X4FTIDSE3X · pith_short_8: RN2CW2X4

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/RN2CW2X4FTIDSE3X4R2FQZ3WYB \
  | 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: 8b742b6afc2cd0391377e474586776c0636d57d52c4959a7e83874b1bbe26852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc76a9d08b04090b83e1b15e9cddd606a7c5437d34814468f4fab337420d735d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-04T15:48:08Z",
    "title_canon_sha256": "a506ff4e43487ecf54127779ff5bee69f261efd69d62a91aeaf99b3ac3f8faf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01374",
    "kind": "arxiv",
    "version": 1
  }
}