Pith Number

pith:7Z6BKV2M

pith:2017:7Z6BKV2MGH5M4EM7YWPPSZRXPI

not attested not anchored not stored refs pending

Bounds for the Nakamura number

Josep Freixas, Sascha Kurz

arxiv:1711.06611 v3 · 2017-11-17 · 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{7Z6BKV2MGH5M4EM7YWPPSZRXPI}

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	2026-05-17T23:59:39.445333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7c15574c31face119fc59ef966377a1aa77c65799157b4ab494eae16da9498

Aliases

arxiv: 1711.06611 · arxiv_version: 1711.06611v3 · doi: 10.48550/arxiv.1711.06611 · pith_short_12: 7Z6BKV2MGH5M · pith_short_16: 7Z6BKV2MGH5M4EM7 · pith_short_8: 7Z6BKV2M

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/7Z6BKV2MGH5M4EM7YWPPSZRXPI \
  | 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: fe7c15574c31face119fc59ef966377a1aa77c65799157b4ab494eae16da9498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69823d81e8925a8815c3c3c79443ed8c5d86dbb6dfe1ebea0543013a4e5883e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-17T16:11:30Z",
    "title_canon_sha256": "50fb2a23a383383c04ea2fc8a5fe32ead275f144f583ce345a0e46472884666e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06611",
    "kind": "arxiv",
    "version": 3
  }
}