Pith Number

pith:VITRT3CF

pith:2018:VITRT3CFHE457LNZT4YBCMFBQN

not attested not anchored not stored refs pending

Almost equal summands in Waring's problem with shifts

Kirsti Biggs

arxiv:1811.00856 v1 · 2018-11-02 · 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{VITRT3CFHE457LNZT4YBCMFBQN}

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	2026-05-18T00:01:41.943567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa2719ec453939dfadb99f301130a18344313d2dd317fe4b7e0d9671cbf52b16

Aliases

arxiv: 1811.00856 · arxiv_version: 1811.00856v1 · doi: 10.48550/arxiv.1811.00856 · pith_short_12: VITRT3CFHE45 · pith_short_16: VITRT3CFHE457LNZ · pith_short_8: VITRT3CF

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/VITRT3CFHE457LNZT4YBCMFBQN \
  | 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: aa2719ec453939dfadb99f301130a18344313d2dd317fe4b7e0d9671cbf52b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b01cec1302e3e22c9e663af7aac8b02c1940dd6b1ef50338d1faf07207bb26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-02T13:42:21Z",
    "title_canon_sha256": "ee32d669bb1cbfa6755ec47c9d54c930a525ea0e651a8adf9c7306ed2515ec32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00856",
    "kind": "arxiv",
    "version": 1
  }
}