Pith Number

pith:OXWPZ7B4

pith:2010:OXWPZ7B4BSVNJ7FW2O7BMLFFVE

not attested not anchored not stored refs pending

The size of coefficients of certain polynomials related to the Goldbach conjecture

Charles L. Samuels, Greg Martin

arxiv:1008.1968 v1 · 2010-08-11 · 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{OXWPZ7B4BSVNJ7FW2O7BMLFFVE}

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	2026-05-18T04:42:22.624364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75ecfcfc3c0caad4fcb6d3be162ca5a91018ac44a708d74d2eea67eb4e1818a2

Aliases

arxiv: 1008.1968 · arxiv_version: 1008.1968v1 · doi: 10.48550/arxiv.1008.1968 · pith_short_12: OXWPZ7B4BSVN · pith_short_16: OXWPZ7B4BSVNJ7FW · pith_short_8: OXWPZ7B4

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/OXWPZ7B4BSVNJ7FW2O7BMLFFVE \
  | 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: 75ecfcfc3c0caad4fcb6d3be162ca5a91018ac44a708d74d2eea67eb4e1818a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1fb727a4d1781a2c43df2f07e579ea23533d67b27107bd53415ec326c91623c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-11T18:52:06Z",
    "title_canon_sha256": "de3dc12a2c5ed37aaf36c5b78e670be134ef9115826f016d5aabd640c56f873f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1968",
    "kind": "arxiv",
    "version": 1
  }
}