Pith Number

pith:C7JAAVKA

pith:2013:C7JAAVKAPUE5WH37CDFWDSOWJE

not attested not anchored not stored refs pending

An asymptotic formula for Goldbach's conjecture with monic polynomials in $\mathbb{Z}[\theta][x]$

Ab\'ilio Lemos, Anderson L. A. Araujo

arxiv:1312.7295 v2 · 2013-12-27 · 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{C7JAAVKAPUE5WH37CDFWDSOWJE}

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	2026-05-18T02:12:11.644175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d20055407d09db1f7f10cb61c9d64938df1e16cc2a73f288df50b81603a364

Aliases

arxiv: 1312.7295 · arxiv_version: 1312.7295v2 · doi: 10.48550/arxiv.1312.7295 · pith_short_12: C7JAAVKAPUE5 · pith_short_16: C7JAAVKAPUE5WH37 · pith_short_8: C7JAAVKA

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/C7JAAVKAPUE5WH37CDFWDSOWJE \
  | 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: 17d20055407d09db1f7f10cb61c9d64938df1e16cc2a73f288df50b81603a364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47463d41154544d77db33cc58a801ac7a40aaafeb5cea6eb3cd64b2a332a6a8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-27T16:45:19Z",
    "title_canon_sha256": "d9a00dd8e30b8edba3be0f656fd7497bded4a5e026298296d3a8e8d15b40101d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7295",
    "kind": "arxiv",
    "version": 2
  }
}