Pith Number

pith:5TNVREDV

pith:2016:5TNVREDVXFTOG5C3GUPTEDL23P

not attested not anchored not stored refs pending

Lower bounds on the two-sided inhomogeneous approximation constant

Chris Pinner

arxiv:1603.06178 v1 · 2016-03-20 · 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{5TNVREDVXFTOG5C3GUPTEDL23P}

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	2026-05-18T01:18:50.092008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecdb589075b966e3745b351f320d7adbca91e5300c34f5a773920b1e8c19517b

Aliases

arxiv: 1603.06178 · arxiv_version: 1603.06178v1 · doi: 10.48550/arxiv.1603.06178 · pith_short_12: 5TNVREDVXFTO · pith_short_16: 5TNVREDVXFTOG5C3 · pith_short_8: 5TNVREDV

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/5TNVREDVXFTOG5C3GUPTEDL23P \
  | 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: ecdb589075b966e3745b351f320d7adbca91e5300c34f5a773920b1e8c19517b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7f465d57f3542992389b0b170b500e0578e9f0e652f6869f390e35dd2fa51b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-20T03:30:36Z",
    "title_canon_sha256": "16f3658201430ffb31bca84ae8bff30e6f22b024e84d0072271cfc23629477c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06178",
    "kind": "arxiv",
    "version": 1
  }
}