Pith Number

pith:Q6PQUHMS

pith:2015:Q6PQUHMSEZYKI6FXV4NRYZNRPR

not attested not anchored not stored refs pending

Fringe pairs in generalized MSTD sets

Hong Suh, Megumi Asada, Sarah Manski, Steven J. Miller

arxiv:1509.01657 v2 · 2015-09-05 · 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{Q6PQUHMSEZYKI6FXV4NRYZNRPR}

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	2026-05-18T00:53:08.935140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

879f0a1d922670a478b7af1b1c65b17c4b7d7a2e9aeda38c6f815c28d306742d

Aliases

arxiv: 1509.01657 · arxiv_version: 1509.01657v2 · doi: 10.48550/arxiv.1509.01657 · pith_short_12: Q6PQUHMSEZYK · pith_short_16: Q6PQUHMSEZYKI6FX · pith_short_8: Q6PQUHMS

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/Q6PQUHMSEZYKI6FXV4NRYZNRPR \
  | 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: 879f0a1d922670a478b7af1b1c65b17c4b7d7a2e9aeda38c6f815c28d306742d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e653a4f95e1129e087ffc157783cce529bfcc7f901f5c6bc436630f739dbd24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-05T02:28:10Z",
    "title_canon_sha256": "b66c86e6de7da4d43b9f7d11f5a16cd84a1eb89ff4f61c8ae056837c8f62939e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01657",
    "kind": "arxiv",
    "version": 2
  }
}