Pith Number

pith:ALFOFNZU

pith:2010:ALFOFNZUC5NEOYLFCZI66Q73RB

not attested not anchored not stored refs pending

Random multiplicative functions in short intervals

Kannan Soundararajan, Sourav Chatterjee

arxiv:1011.4917 v2 · 2010-11-22 · math.NT · 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{ALFOFNZUC5NEOYLFCZI66Q73RB}

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	2026-05-18T04:30:05.206961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02cae2b734175a4761651651ef43fb885603b4951461687dca1ddc310826d141

Aliases

arxiv: 1011.4917 · arxiv_version: 1011.4917v2 · doi: 10.48550/arxiv.1011.4917 · pith_short_12: ALFOFNZUC5NE · pith_short_16: ALFOFNZUC5NEOYLF · pith_short_8: ALFOFNZU

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/ALFOFNZUC5NEOYLFCZI66Q73RB \
  | 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: 02cae2b734175a4761651651ef43fb885603b4951461687dca1ddc310826d141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ddf13b375ad2dfaa18de3fcb2c9e3874d960ebb07ff4f569de766e6f1aaba5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-22T19:38:33Z",
    "title_canon_sha256": "1c13221f892174d3deef741fe805511117accd1796b01b9d9c327fef70c6a27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4917",
    "kind": "arxiv",
    "version": 2
  }
}