Pith Number

pith:DYPJ7LVQ

pith:2013:DYPJ7LVQMQ5PNSHKKVUI2X55LF

not attested not anchored not stored refs pending

Major arcs for Goldbach's problem

H. A. Helfgott

arxiv:1305.2897 v4 · 2013-05-13 · 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{DYPJ7LVQMQ5PNSHKKVUI2X55LF}

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

On Frobenius Numbers of Shifted Power Sequences

Receipt and verification

First computed	2026-05-18T02:54:21.480970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e1e9faeb0643af6c8ea55688d5fbd597d30fc969996b00b11859daa9f479cb6

Aliases

arxiv: 1305.2897 · arxiv_version: 1305.2897v4 · doi: 10.48550/arxiv.1305.2897 · pith_short_12: DYPJ7LVQMQ5P · pith_short_16: DYPJ7LVQMQ5PNSHK · pith_short_8: DYPJ7LVQ

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/DYPJ7LVQMQ5PNSHKKVUI2X55LF \
  | 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: 1e1e9faeb0643af6c8ea55688d5fbd597d30fc969996b00b11859daa9f479cb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a28528ab295f3230e4b41dedcab18a1182764af5c71e0fcc3dff1f3656958fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-13T19:21:02Z",
    "title_canon_sha256": "747822bc896c10393fa901863f6744673af2a5019b67cc21b565af8c63f0a4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2897",
    "kind": "arxiv",
    "version": 4
  }
}