Pith Number

pith:GV5W5WZB

pith:2006:GV5W5WZB4QNTN2VGSKPL4G6NVH

not attested not anchored not stored refs pending

Quadratic Uniformity of the Mobius Function

Ben Green, Terence Tao

arxiv:math/0606087 v2 · 2006-06-04 · 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{GV5W5WZB4QNTN2VGSKPL4G6NVH}

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	2026-05-18T04:08:53.457844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357b6edb21e41b36eaa6929ebe1bcda9f293767803afc66b49da3870d543c88b

Aliases

arxiv: math/0606087 · arxiv_version: math/0606087v2 · doi: 10.48550/arxiv.math/0606087 · pith_short_12: GV5W5WZB4QNT · pith_short_16: GV5W5WZB4QNTN2VG · pith_short_8: GV5W5WZB

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/GV5W5WZB4QNTN2VGSKPL4G6NVH \
  | 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: 357b6edb21e41b36eaa6929ebe1bcda9f293767803afc66b49da3870d543c88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c27c16af750275750842fccecf8fdc9182b97b348712a335fab63757911613f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-06-04T10:37:47Z",
    "title_canon_sha256": "e83691131202cdde9947f568a79792d361515755539bedf5a657cc2e29ead124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606087",
    "kind": "arxiv",
    "version": 2
  }
}