Pith Number

pith:SPKTMKEO

pith:2016:SPKTMKEOYX2XJI7HFYX2HT7JUO

not attested not anchored not stored refs pending

Inverting the Rational Sweep Map

Adriano M. Garsia, Guoce Xin

arxiv:1602.02346 v2 · 2016-02-07 · 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{SPKTMKEOYX2XJI7HFYX2HT7JUO}

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	2026-05-18T00:43:43.682751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d536288ec5f574a3e72e2fa3cfe9a3aadc1beeffa0f184b9807c28e94abd05

Aliases

arxiv: 1602.02346 · arxiv_version: 1602.02346v2 · doi: 10.48550/arxiv.1602.02346 · pith_short_12: SPKTMKEOYX2X · pith_short_16: SPKTMKEOYX2XJI7H · pith_short_8: SPKTMKEO

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/SPKTMKEOYX2XJI7HFYX2HT7JUO \
  | 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: 93d536288ec5f574a3e72e2fa3cfe9a3aadc1beeffa0f184b9807c28e94abd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c40fab1a05ca5cc3896654cc0447b9073ecc684ddda28aed3c79ccbab38d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-07T07:36:56Z",
    "title_canon_sha256": "7aecbb41fb49e2f2ea42d58c893e63e3cff317eb38e87abf9deb7ce97ed4566e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02346",
    "kind": "arxiv",
    "version": 2
  }
}