Pith Number

pith:O52TTYMA

pith:2010:O52TTYMAX3E6FOFPCHNHZGTG63

not attested not anchored not stored refs pending

On the multiplicative Erd\H{o}s discrepancy problem

Michael Coons

arxiv:1003.5388 v4 · 2010-03-28 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O52TTYMAX3E6FOFPCHNHZGTG63}

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	2026-05-18T04:14:46.250011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777539e180bec9e2b8af11da7c9a66f6e5e2afd60070ab77d465e8377ae53569

Aliases

arxiv: 1003.5388 · arxiv_version: 1003.5388v4 · doi: 10.48550/arxiv.1003.5388 · pith_short_12: O52TTYMAX3E6 · pith_short_16: O52TTYMAX3E6FOFP · pith_short_8: O52TTYMA

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/O52TTYMAX3E6FOFPCHNHZGTG63 \
  | 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: 777539e180bec9e2b8af11da7c9a66f6e5e2afd60070ab77d465e8377ae53569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc49ad961b29e023914f32c849c2db47f7a7122e696a5cad39ebb0bfbbcca9c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-28T18:36:19Z",
    "title_canon_sha256": "630bfa9f61e9449b007c111d6017c9a808bd2f0189202d7aafdf97dbedbda7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5388",
    "kind": "arxiv",
    "version": 4
  }
}