Pith Number

pith:C6EL76BC

pith:2016:C6EL76BCESWLXIXHHMGW5Q3GZW

not attested not anchored not stored refs pending

The Hausdorff measure version of Gallagher's theorem -- closing the gap and beyond

David Simmons, Mumtaz Hussain

arxiv:1612.00139 v2 · 2016-12-01 · 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{C6EL76BCESWLXIXHHMGW5Q3GZW}

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	2026-05-18T00:21:41.315098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1788bff82224acbba2e73b0d6ec366cda1e48043148a44dd505a6f45cfa98e71

Aliases

arxiv: 1612.00139 · arxiv_version: 1612.00139v2 · doi: 10.48550/arxiv.1612.00139 · pith_short_12: C6EL76BCESWL · pith_short_16: C6EL76BCESWLXIXH · pith_short_8: C6EL76BC

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/C6EL76BCESWLXIXHHMGW5Q3GZW \
  | 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: 1788bff82224acbba2e73b0d6ec366cda1e48043148a44dd505a6f45cfa98e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1598f5404a64453a2b2ae50849e990d83813bff6b2ab3513fca52e0a424d7862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-01T04:51:03Z",
    "title_canon_sha256": "0ba13a88e5052fef8a91d9157f0701e834bfc66d3ac6b992ac28e1168357ed1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00139",
    "kind": "arxiv",
    "version": 2
  }
}