Pith Number

pith:3IQ4QKWJ

pith:2015:3IQ4QKWJTJRVQLJGXUI2RF4YN2

not attested not anchored not stored refs pending

On Integer sequences in Product sets

Sai Teja Somu

arxiv:1511.03232 v1 · 2015-11-10 · 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{3IQ4QKWJTJRVQLJGXUI2RF4YN2}

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	2026-05-18T01:27:16.722006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da21c82ac99a63582d26bd11a897986e9032e05eb3a46a58d391903b5a953827

Aliases

arxiv: 1511.03232 · arxiv_version: 1511.03232v1 · doi: 10.48550/arxiv.1511.03232 · pith_short_12: 3IQ4QKWJTJRV · pith_short_16: 3IQ4QKWJTJRVQLJG · pith_short_8: 3IQ4QKWJ

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/3IQ4QKWJTJRVQLJGXUI2RF4YN2 \
  | 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: da21c82ac99a63582d26bd11a897986e9032e05eb3a46a58d391903b5a953827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28be6d35f1f8be9242c6a7fa247b782e815b3f3ed79d8f5c86111af38a2610b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-10T19:27:57Z",
    "title_canon_sha256": "ce0d6b37698e7a54254ef2769214597530fc173f34643371a303a1b9e3daf4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03232",
    "kind": "arxiv",
    "version": 1
  }
}