Pith Number

pith:VPYQHRYF

pith:2011:VPYQHRYFOAPNXRCATZQQM6UWOT

not attested not anchored not stored refs pending

Sums of almost equal squares of primes

Angel Kumchev, Taiyu Li

arxiv:1109.5594 v1 · 2011-09-26 · 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{VPYQHRYFOAPNXRCATZQQM6UWOT}

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	2026-05-18T04:03:54.309411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf103c705701edbc4409e61067a9674d1a70903669770abad124be280c988b7

Aliases

arxiv: 1109.5594 · arxiv_version: 1109.5594v1 · doi: 10.48550/arxiv.1109.5594 · pith_short_12: VPYQHRYFOAPN · pith_short_16: VPYQHRYFOAPNXRCA · pith_short_8: VPYQHRYF

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/VPYQHRYFOAPNXRCATZQQM6UWOT \
  | 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: abf103c705701edbc4409e61067a9674d1a70903669770abad124be280c988b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3096b447ecb0ceb3b0422940830ccd45c2824b3ba997e670fa6e70487fa6ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-26T15:06:37Z",
    "title_canon_sha256": "8a687e03b5394d947104aab4f667489298dc9db0c6435952204210fac3b2ac95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5594",
    "kind": "arxiv",
    "version": 1
  }
}