Pith Number

pith:HTZ2NSIR

pith:2015:HTZ2NSIRYPTULXMYV7AQND3IKD

not attested not anchored not stored refs pending

Natural numbers represented by $\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor$

Zhi-Wei Sun

arxiv:1504.01608 v8 · 2015-04-06 · 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{HTZ2NSIRYPTULXMYV7AQND3IKD}

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	2026-05-18T01:23:50.735899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf3a6c911c3e745dd98afc1068f6850f9ea5f40bebb586550966738dc09d3d5

Aliases

arxiv: 1504.01608 · arxiv_version: 1504.01608v8 · doi: 10.48550/arxiv.1504.01608 · pith_short_12: HTZ2NSIRYPTU · pith_short_16: HTZ2NSIRYPTULXMY · pith_short_8: HTZ2NSIR

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/HTZ2NSIRYPTULXMYV7AQND3IKD \
  | 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: 3cf3a6c911c3e745dd98afc1068f6850f9ea5f40bebb586550966738dc09d3d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed2b72e746bd98daf5e93301d78ff5232a71d6d170c8121d1e9a447afa47f963",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-06T15:56:21Z",
    "title_canon_sha256": "7bbe4affb40e049853215476a05ff03a0dce53048955862c8a0a741e9d2f6cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01608",
    "kind": "arxiv",
    "version": 8
  }
}