Pith Number

pith:TQUR6X6C

pith:2016:TQUR6X6CVJPUY24LZDOAQQKDAV

not attested not anchored not stored refs pending

On the sum of two squares and at most two powers of 2

Dave Platt, Tim Trudgian

arxiv:1610.01672 v2 · 2016-10-05 · 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{TQUR6X6CVJPUY24LZDOAQQKDAV}

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	2026-05-18T01:01:59.826090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c291f5fc2aa5f4c6b8bc8dc0841430557b6fe5e04e8dc8108aacd79e7bc5e75

Aliases

arxiv: 1610.01672 · arxiv_version: 1610.01672v2 · doi: 10.48550/arxiv.1610.01672 · pith_short_12: TQUR6X6CVJPU · pith_short_16: TQUR6X6CVJPUY24L · pith_short_8: TQUR6X6C

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/TQUR6X6CVJPUY24LZDOAQQKDAV \
  | 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: 9c291f5fc2aa5f4c6b8bc8dc0841430557b6fe5e04e8dc8108aacd79e7bc5e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f61f458b4c4308cd19f55c544b5dce186c557ad5d30f74b0130a7a1aea303cf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-05T22:24:46Z",
    "title_canon_sha256": "8fd74f2906ac49c162c5a414bf26983e97497f32fa1191492cd27c2da3471291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01672",
    "kind": "arxiv",
    "version": 2
  }
}