Pith Number

pith:LV3EF33E

pith:2017:LV3EF33EHTMWKTL72A3MHGOGGB

not attested not anchored not stored refs pending

Vinogradov systems with a slice off

Julia Brandes, Trevor D. Wooley

arxiv:1707.06047 v1 · 2017-07-19 · 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{LV3EF33EHTMWKTL72A3MHGOGGB}

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	2026-05-18T00:39:57.721567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7642ef643cd9654d7fd036c399c6307823e1a5cd84a42da2017c15ab463eac

Aliases

arxiv: 1707.06047 · arxiv_version: 1707.06047v1 · doi: 10.48550/arxiv.1707.06047 · pith_short_12: LV3EF33EHTMW · pith_short_16: LV3EF33EHTMWKTL7 · pith_short_8: LV3EF33E

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/LV3EF33EHTMWKTL72A3MHGOGGB \
  | 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: 5d7642ef643cd9654d7fd036c399c6307823e1a5cd84a42da2017c15ab463eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbfe5b00111b25260bff09a85aa4074c97a617d9e7498e7c6e7b419b49925d7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-19T12:37:13Z",
    "title_canon_sha256": "fa1736c1077749dd5152134e0a364b2c988d6900831767f0ab1c410537a6efe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06047",
    "kind": "arxiv",
    "version": 1
  }
}