Pith Number

pith:QJF6H2X4

pith:2014:QJF6H2X4LG4LMFJA6MFYLJQIGQ

not attested not anchored not stored refs pending

Linnik's approximation to Goldbach's conjecture, and other problems

Dave Platt, Tim Trudgian

arxiv:1404.5669 v2 · 2014-04-22 · 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{QJF6H2X4LG4LMFJA6MFYLJQIGQ}

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	2026-05-18T01:37:33.105756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824be3eafc59b8b61520f30b85a6083433a37f0c5e58b19bc279a30d28dd0a63

Aliases

arxiv: 1404.5669 · arxiv_version: 1404.5669v2 · doi: 10.48550/arxiv.1404.5669 · pith_short_12: QJF6H2X4LG4L · pith_short_16: QJF6H2X4LG4LMFJA · pith_short_8: QJF6H2X4

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/QJF6H2X4LG4LMFJA6MFYLJQIGQ \
  | 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: 824be3eafc59b8b61520f30b85a6083433a37f0c5e58b19bc279a30d28dd0a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e3da23aee1ad61725e427c70654788318e7cf2f65da84f4c3711771c6d3338",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-22T23:28:17Z",
    "title_canon_sha256": "d86a6b86637cded846440fa971a3e6df0bd0a2192f85622d7607cdd697efd4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5669",
    "kind": "arxiv",
    "version": 2
  }
}