Pith Number

pith:KQEO5WRV

pith:2013:KQEO5WRVWCILLG2CHUCHHWGJVK

not attested not anchored not stored refs pending

The ternary Goldbach conjecture is true

H. A. Helfgott

arxiv:1312.7748 v2 · 2013-12-30 · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQEO5WRVWCILLG2CHUCHHWGJVK}

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.

Cited by

5 papers in Pith

Introducing and Applying S.C.E Model Under Dusart's Inequality to Prove Goldbach's Strong Conjecture for 74 Typical Structures out of All 75 Structural Types of Even Number

On the flint hills series

Complex Circles of Partition and the Expansion Principles

On the Goldbach problem with restricted primes

A density version of quaternary Goldbach problem

Receipt and verification

First computed	2026-05-18T03:01:55.880567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5408eeda35b090b59b423d0473d8c9aa972eea351e8b183aece12169d7eab65f

Aliases

arxiv: 1312.7748 · arxiv_version: 1312.7748v2 · doi: 10.48550/arxiv.1312.7748 · pith_short_12: KQEO5WRVWCIL · pith_short_16: KQEO5WRVWCILLG2C · pith_short_8: KQEO5WRV

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/KQEO5WRVWCILLG2CHUCHHWGJVK \
  | 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: 5408eeda35b090b59b423d0473d8c9aa972eea351e8b183aece12169d7eab65f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69516269c462582c0c0fa394b682d033a18cedf93750226a628eaf60fe7bab72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-30T15:51:33Z",
    "title_canon_sha256": "e3ef0132497e125bbfec1bbe12cd90ef806b8835c80f9ef15d8248c9fdfabc96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7748",
    "kind": "arxiv",
    "version": 2
  }
}