Pith Number

pith:I6OMNI47

pith:2010:I6OMNI47NMXBFAL7KEH3OADMVV

not attested not anchored not stored refs pending

The number of Goldbach representations of an integer

Alessandro Languasco, Alessandro Zaccagnini

arxiv:1011.3198 v1 · 2010-11-14 · 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{I6OMNI47NMXBFAL7KEH3OADMVV}

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	2026-05-18T03:33:50.358291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479cc6a39f6b2e12817f510fb7006cad77904abda1ef0595874b9bd7457507ee

Aliases

arxiv: 1011.3198 · arxiv_version: 1011.3198v1 · doi: 10.48550/arxiv.1011.3198 · pith_short_12: I6OMNI47NMXB · pith_short_16: I6OMNI47NMXBFAL7 · pith_short_8: I6OMNI47

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/I6OMNI47NMXBFAL7KEH3OADMVV \
  | 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: 479cc6a39f6b2e12817f510fb7006cad77904abda1ef0595874b9bd7457507ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f65f001fc4d43126b000d601563042cc7e55eef263346daf08de79febfd3a3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-14T09:03:49Z",
    "title_canon_sha256": "d87f8e210db856495632f3ccc8620c0fcf3c9e8150fd0526d08d62411fb55fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3198",
    "kind": "arxiv",
    "version": 1
  }
}