Pith Number

pith:4IDSF5M2

pith:2026:4IDSF5M2DK5EYOT66A5XDJ5QVX

not attested not anchored not stored refs pending

The Fourth-Root Complexity of Data Movement

Chen Ding

arxiv:2606.30948 v1 · 2026-06-29 · cs.CC · cs.PF · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IDSF5M2DK5EYOT66A5XDJ5QVX}

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	2026-07-01T00:17:22.476946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20722f59a1aba4c3a7ef03b71a7b0ade656902939e3b939e117aee670521f2e

Aliases

arxiv: 2606.30948 · arxiv_version: 2606.30948v1 · doi: 10.48550/arxiv.2606.30948 · pith_short_12: 4IDSF5M2DK5E · pith_short_16: 4IDSF5M2DK5EYOT6 · pith_short_8: 4IDSF5M2

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/4IDSF5M2DK5EYOT66A5XDJ5QVX \
  | 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: e20722f59a1aba4c3a7ef03b71a7b0ade656902939e3b939e117aee670521f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caff227df631b70c952b9e61bb7a1f4a1478ea30db2a38f87ce8f216feb9f7fa",
    "cross_cats_sorted": [
      "cs.PF",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-29T22:01:50Z",
    "title_canon_sha256": "7d7778992309f7f5df2e33bdfe2395099457fc7c600813d529ac108186b4494c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30948",
    "kind": "arxiv",
    "version": 1
  }
}