Pith Number

pith:5X2434F6

pith:2015:5X2434F6AGSRYLCFQWTCRXMONQ

not attested not anchored not stored refs pending

The ternary Goldbach problem

Harald Andres Helfgott

arxiv:1501.05438 v2 · 2015-01-22 · 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{5X2434F6AGSRYLCFQWTCRXMONQ}

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

1 paper in Pith

The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem

Receipt and verification

First computed	2026-05-18T02:28:30.977423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf5cdf0be01a51c2c4585a628dd8e6c13b59e870c231c20dd765bd3101f90e1

Aliases

arxiv: 1501.05438 · arxiv_version: 1501.05438v2 · doi: 10.48550/arxiv.1501.05438 · pith_short_12: 5X2434F6AGSR · pith_short_16: 5X2434F6AGSRYLCF · pith_short_8: 5X2434F6

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/5X2434F6AGSRYLCFQWTCRXMONQ \
  | 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: edf5cdf0be01a51c2c4585a628dd8e6c13b59e870c231c20dd765bd3101f90e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49dd2f195afb02e40d122d1d5c4f555f6f30fd9e1e3385e06f9dd875ed5cdc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-22T09:43:40Z",
    "title_canon_sha256": "f6c571ed594ec9593d15e772467412e87973b4914bfc1cc0363746e45513bbfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05438",
    "kind": "arxiv",
    "version": 2
  }
}