Pith Number

pith:G6QADDXK

pith:2015:G6QADDXKA3NXXJUTWH3ZWLGF2H

not attested not anchored not stored refs pending

On the Waring--Goldbach problem for eighth and higher powers

Angel V. Kumchev, Trevor D. Wooley

arxiv:1510.00982 v1 · 2015-10-04 · 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{G6QADDXKA3NXXJUTWH3ZWLGF2H}

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	2026-05-18T00:44:25.151040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a0018eea06db7ba693b1f79b2cc5d1db1eb02c57f0af99ee9ca3e0ec426e94

Aliases

arxiv: 1510.00982 · arxiv_version: 1510.00982v1 · doi: 10.48550/arxiv.1510.00982 · pith_short_12: G6QADDXKA3NX · pith_short_16: G6QADDXKA3NXXJUT · pith_short_8: G6QADDXK

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/G6QADDXKA3NXXJUTWH3ZWLGF2H \
  | 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: 37a0018eea06db7ba693b1f79b2cc5d1db1eb02c57f0af99ee9ca3e0ec426e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a330fba60d4f1b141db218f9be87b3bb4f12a73b1ceaa3e5126204610687261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-04T20:35:08Z",
    "title_canon_sha256": "b47aa7957a04d5f3229248837cff6ebe990b4a57014e5bb94cee50475546079f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00982",
    "kind": "arxiv",
    "version": 1
  }
}