Pith Number

pith:K2R6K3K6

pith:2017:K2R6K3K6FUYWH6D24PCVJY2ZRK

not attested not anchored not stored refs pending

When is an automatic set an additive basis?

Jason Bell, Jeffrey Shallit, Kathryn Hare

arxiv:1710.08353 v1 · 2017-10-23 · math.NT · cs.DM · cs.FL · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2R6K3K6FUYWH6D24PCVJY2ZRK}

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	2026-05-18T00:32:16.624690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a3e56d5e2d3163f87ae3c554e3598a806b34d2a7e825742f5ede5fe2825a8e

Aliases

arxiv: 1710.08353 · arxiv_version: 1710.08353v1 · doi: 10.48550/arxiv.1710.08353 · pith_short_12: K2R6K3K6FUYW · pith_short_16: K2R6K3K6FUYWH6D2 · pith_short_8: K2R6K3K6

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/K2R6K3K6FUYWH6D24PCVJY2ZRK \
  | 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: 56a3e56d5e2d3163f87ae3c554e3598a806b34d2a7e825742f5ede5fe2825a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd782c92e64d59e437cd3b5ff4dfc023cd85f54fffb01025ed0dbe281df80a18",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-23T15:54:31Z",
    "title_canon_sha256": "b334c51e49551aef527def0d4a27142813f5be12306f705362532e054ab653cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08353",
    "kind": "arxiv",
    "version": 1
  }
}