Pith Number

pith:7NBQ26H4

pith:2025:7NBQ26H446E45CYASU7EITABEI

not attested not anchored not stored refs pending

Equality is Far Weaker than Constant-Cost Communication

Artur Riazanov, Mika G\"o\"os, Nathaniel Harms

arxiv:2507.11162 v1 · 2025-07-15 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NBQ26H446E45CYASU7EITABEI}

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.

Cited by

2 papers in Pith

Communication complexity of point-line incidences over the reals

Receipt and verification

First computed	2026-07-05T11:37:33.510931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb430d78fce789ce8b00953e444c01220cbb8e2a13ccfa8b0d73d7420e240c54

Aliases

arxiv: 2507.11162 · arxiv_version: 2507.11162v1 · doi: 10.48550/arxiv.2507.11162 · pith_short_12: 7NBQ26H446E4 · pith_short_16: 7NBQ26H446E45CYA · pith_short_8: 7NBQ26H4

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/7NBQ26H446E45CYASU7EITABEI \
  | 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: fb430d78fce789ce8b00953e444c01220cbb8e2a13ccfa8b0d73d7420e240c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e58bc260b1e3ebde9068e8cfc85b3fcae46334ebcb73f453dd53861d1e83aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-07-15T10:10:21Z",
    "title_canon_sha256": "160de26ee2a8decd7cb16e1224d7c3a861f3a35f4b4fbd907083463f43d505cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11162",
    "kind": "arxiv",
    "version": 1
  }
}