Pith Number

pith:C54IQS7M

pith:2016:C54IQS7MM2DVOXIJVUXNX6RQCH

not attested not anchored not stored refs pending

The Average Number of Goldbach Representations

D. A. Goldston, Liyang Yang

arxiv:1601.06902 v1 · 2016-01-26 · 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{C54IQS7MM2DVOXIJVUXNX6RQCH}

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	2026-05-18T01:21:59.572992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1778884bec6687575d09ad2edbfa3011df61366260d6d4ca85c5fc65e0819cdf

Aliases

arxiv: 1601.06902 · arxiv_version: 1601.06902v1 · doi: 10.48550/arxiv.1601.06902 · pith_short_12: C54IQS7MM2DV · pith_short_16: C54IQS7MM2DVOXIJ · pith_short_8: C54IQS7M

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/C54IQS7MM2DVOXIJVUXNX6RQCH \
  | 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: 1778884bec6687575d09ad2edbfa3011df61366260d6d4ca85c5fc65e0819cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86f200b9d51a0bd7a4ffe97022bd8550c64540bc233b03db58eb64524718807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-26T06:35:25Z",
    "title_canon_sha256": "ad35ead7ad692bd4a38bfc8d4c39f0019624e474b395bfe7ac9b59683c8c2cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06902",
    "kind": "arxiv",
    "version": 1
  }
}