Pith Number

pith:D5V4NGOE

pith:2017:D5V4NGOEMR4AGVBFIKO5KYELFP

not attested not anchored not stored refs pending

On a numerical upper bound for the extended Goldbach conjecture

David Quarel

arxiv:1801.01813 v1 · 2017-12-29 · math.HO · 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{D5V4NGOEMR4AGVBFIKO5KYELFP}

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	2026-05-18T00:26:40.919214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6bc699c46478035425429dd5608b2bd901c313196652fcd2e2a04e2b739dcb

Aliases

arxiv: 1801.01813 · arxiv_version: 1801.01813v1 · doi: 10.48550/arxiv.1801.01813 · pith_short_12: D5V4NGOEMR4A · pith_short_16: D5V4NGOEMR4AGVBF · pith_short_8: D5V4NGOE

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/D5V4NGOEMR4AGVBFIKO5KYELFP \
  | 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: 1f6bc699c46478035425429dd5608b2bd901c313196652fcd2e2a04e2b739dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0289135547511ff6728a696479abcdfd7a591e401ff877466beeeb0528c49fa5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-12-29T03:16:47Z",
    "title_canon_sha256": "6d1f7966c10c770a0935e17596f590b84697549af8dce4de54104f533fdc32f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01813",
    "kind": "arxiv",
    "version": 1
  }
}