Pith Number

pith:TBWRXMIJ

pith:2026:TBWRXMIJMSVH2XLKR6JLSAD2H2

not attested not anchored not stored refs pending

Communication complexity of point-line incidences over the reals

Hamed Hatami, Marcel K. Goh

arxiv:2606.25192 v1 · 2026-06-23 · 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{TBWRXMIJMSVH2XLKR6JLSAD2H2}

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	2026-06-25T00:18:20.462343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986d1bb10964aa7d5d6a8f92b9007a3eacdb1e71c02f6ca2b7b8ac59d8dc4ae8

Aliases

arxiv: 2606.25192 · arxiv_version: 2606.25192v1 · doi: 10.48550/arxiv.2606.25192 · pith_short_12: TBWRXMIJMSVH · pith_short_16: TBWRXMIJMSVH2XLK · pith_short_8: TBWRXMIJ

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/TBWRXMIJMSVH2XLKR6JLSAD2H2 \
  | 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: 986d1bb10964aa7d5d6a8f92b9007a3eacdb1e71c02f6ca2b7b8ac59d8dc4ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aa778851b3ff9892e085fdaa561b0d2b8d65af9fad5c2f938177383aeaee010",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-23T21:35:18Z",
    "title_canon_sha256": "3bc4967d724ca91b99e43f9f61a6ad0ad8e1b6c1909fc569e945005a4a7a262a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25192",
    "kind": "arxiv",
    "version": 1
  }
}