Pith Number

pith:CULRR5MQ

pith:2011:CULRR5MQQMUKWIO36SPFI2NNIY

not attested not anchored not stored refs pending

Essays on regular variations in classical and free setup

Rajat Subhra Hazra

arxiv:1109.5880 v1 · 2011-09-27 · 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{CULRR5MQQMUKWIO36SPFI2NNIY}

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	2026-05-18T04:12:11.063438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

151718f5908328ab21dbf49e5469ad461ad802bea122bed1f5a8d2226e7252da

Aliases

arxiv: 1109.5880 · arxiv_version: 1109.5880v1 · doi: 10.48550/arxiv.1109.5880 · pith_short_12: CULRR5MQQMUK · pith_short_16: CULRR5MQQMUKWIO3 · pith_short_8: CULRR5MQ

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/CULRR5MQQMUKWIO36SPFI2NNIY \
  | 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: 151718f5908328ab21dbf49e5469ad461ad802bea122bed1f5a8d2226e7252da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5353ccabdbf37a1a898a0c44ee5330315e56fbdb954533646d751cfabc1aa479",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-27T13:23:09Z",
    "title_canon_sha256": "98d09cb8d7566290416a02e33b7ee80a932f6c1e88a16611482a9069446e1894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5880",
    "kind": "arxiv",
    "version": 1
  }
}