Pith Number

pith:ZKSQ4TXA

pith:2013:ZKSQ4TXASKGYDTUSMSJYLNWADI

not attested not anchored not stored refs pending

Dealing with prime numbers I.: On the Goldbach conjecture

Fausto Martelli

arxiv:1309.5895 v2 · 2013-09-23 · 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{ZKSQ4TXASKGYDTUSMSJYLNWADI}

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	2026-05-18T03:11:58.998277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa50e4ee0928d81ce92649385b6c01a116124c79174af1ff7f11a077bd28d09

Aliases

arxiv: 1309.5895 · arxiv_version: 1309.5895v2 · doi: 10.48550/arxiv.1309.5895 · pith_short_12: ZKSQ4TXASKGY · pith_short_16: ZKSQ4TXASKGYDTUS · pith_short_8: ZKSQ4TXA

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/ZKSQ4TXASKGYDTUSMSJYLNWADI \
  | 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: caa50e4ee0928d81ce92649385b6c01a116124c79174af1ff7f11a077bd28d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c129d27924fd3fedf8bce4021b2c822cd8c6dca10635fbbeb7f189332fc085b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-23T17:50:08Z",
    "title_canon_sha256": "5cc866a24727a8883a97c23d9ef94b8808ba8d08a58c4cc4859e871d0e9b4a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5895",
    "kind": "arxiv",
    "version": 2
  }
}