Pith Number

pith:46VIVTSV

pith:2010:46VIVTSVX54ECGJHOFKVD5TZUZ

not attested not anchored not stored refs pending

Upper bounds on the solutions to $n = p+m^2$

Aran Nayebi

arxiv:1004.0536 v7 · 2010-04-04 · 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{46VIVTSVX54ECGJHOFKVD5TZUZ}

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	2026-05-18T03:58:24.998733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7aa8ace55bf78411927715551f679a667a0ea9937b215d717d23e5ade40f5cb

Aliases

arxiv: 1004.0536 · arxiv_version: 1004.0536v7 · doi: 10.48550/arxiv.1004.0536 · pith_short_12: 46VIVTSVX54E · pith_short_16: 46VIVTSVX54ECGJH · pith_short_8: 46VIVTSV

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/46VIVTSVX54ECGJHOFKVD5TZUZ \
  | 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: e7aa8ace55bf78411927715551f679a667a0ea9937b215d717d23e5ade40f5cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38433f9dab795915e54d444586db3456c19ac96a8774c8b91a537070984d7c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-04T21:54:52Z",
    "title_canon_sha256": "85ff877dfe24e631a54306156d0b08b9a8c7d5b2a673ca16d6be1454c7f9c4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0536",
    "kind": "arxiv",
    "version": 7
  }
}