Pith Number

pith:MYFXWJIR

pith:2016:MYFXWJIR2XPFWDOXFEY54PPT4P

not attested not anchored not stored refs pending

On solution-free sets of integers II

Andrew Treglown, Robert Hancock

arxiv:1611.08498 v2 · 2016-11-25 · math.CO · 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{MYFXWJIR2XPFWDOXFEY54PPT4P}

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	2026-05-18T00:39:39.606884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

660b7b2511d5de5b0dd72931de3df3e3eb98cfb59767c21122f2b2b1411d0a30

Aliases

arxiv: 1611.08498 · arxiv_version: 1611.08498v2 · doi: 10.48550/arxiv.1611.08498 · pith_short_12: MYFXWJIR2XPF · pith_short_16: MYFXWJIR2XPFWDOX · pith_short_8: MYFXWJIR

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/MYFXWJIR2XPFWDOXFEY54PPT4P \
  | 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: 660b7b2511d5de5b0dd72931de3df3e3eb98cfb59767c21122f2b2b1411d0a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c541ea1c9a6624c555dcc73cc0f3c8a9645a16204492fa05714b78769b80e9ed",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-25T15:54:20Z",
    "title_canon_sha256": "6f87c305029d3f12ac7cf3444cfa401346cfdb9c5c08132a2a3905c500f1d177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08498",
    "kind": "arxiv",
    "version": 2
  }
}