Pith Number

pith:C4OKGTS3

pith:2020:C4OKGTS3P43NZZZXZZUFFUPJOD

not attested not anchored not stored refs pending

Computationally Inequivalent Summations and Their Parenthetic Forms

Laura Monroe, Vanessa Job

arxiv:2005.05387 v1 · 2020-05-11 · cs.DM · 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{C4OKGTS3P43NZZZXZZUFFUPJOD}

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	2026-07-05T01:02:19.921031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171ca34e5b7f36dce737ce6852d1e970fc99be09f7e3364712906c338341ad01

Aliases

arxiv: 2005.05387 · arxiv_version: 2005.05387v1 · doi: 10.48550/arxiv.2005.05387 · pith_short_12: C4OKGTS3P43N · pith_short_16: C4OKGTS3P43NZZZX · pith_short_8: C4OKGTS3

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/C4OKGTS3P43NZZZXZZUFFUPJOD \
  | 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: 171ca34e5b7f36dce737ce6852d1e970fc99be09f7e3364712906c338341ad01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0595d8129e05005a66abb2b638970964e9b62e289066703b3fe3ecd054f866",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2020-05-11T19:13:54Z",
    "title_canon_sha256": "ecd39b389b0f08cdf685c37e262d375e6c30c49b7c8f368f30ce734d0d4d1c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.05387",
    "kind": "arxiv",
    "version": 1
  }
}