Pith Number

pith:Q64HUXC7

pith:2016:Q64HUXC74YFB5X3GUN5GMPKBB3

not attested not anchored not stored refs pending

When Sets Can and Cannot Have MSTD Subsets

Hung Chu, Nathan McNew, Sean Zhang, Steven J. Miller, Victor Xu

arxiv:1608.03256 v3 · 2016-08-10 · 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{Q64HUXC74YFB5X3GUN5GMPKBB3}

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	2026-05-18T00:07:33.304050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b87a5c5fe60a1edf66a37a663d410ecd7c919cf4078d94abf9b12a174f4cbf

Aliases

arxiv: 1608.03256 · arxiv_version: 1608.03256v3 · doi: 10.48550/arxiv.1608.03256 · pith_short_12: Q64HUXC74YFB · pith_short_16: Q64HUXC74YFB5X3G · pith_short_8: Q64HUXC7

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/Q64HUXC74YFB5X3GUN5GMPKBB3 \
  | 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: 87b87a5c5fe60a1edf66a37a663d410ecd7c919cf4078d94abf9b12a174f4cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36213c696249ec74b1e6d157dfbad093986732f20c5b916685b7da3285ced347",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-10T18:54:38Z",
    "title_canon_sha256": "58672155ab61ab1ebf33085ff8ea87bac17c9d5a4d19fc8d3740647273b48616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03256",
    "kind": "arxiv",
    "version": 3
  }
}