Pith Number

pith:E67IFVUQ

pith:2026:E67IFVUQJS3NEIHHFPPLB7QT2W

not attested not anchored not stored refs pending

A Rank-Preserving Locality Theorem

Jan Dreier, Szymon Toru\'nczyk

arxiv:2606.23180 v1 · 2026-06-22 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E67IFVUQJS3NEIHHFPPLB7QT2W}

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	2026-06-23T03:14:12.306044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27be82d6904cb6d220e72bdeb0fe13d5840c8506af821cb3740ab21ab2b443be

Aliases

arxiv: 2606.23180 · arxiv_version: 2606.23180v1 · doi: 10.48550/arxiv.2606.23180 · pith_short_12: E67IFVUQJS3N · pith_short_16: E67IFVUQJS3NEIHH · pith_short_8: E67IFVUQ

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/E67IFVUQJS3NEIHHFPPLB7QT2W \
  | 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: 27be82d6904cb6d220e72bdeb0fe13d5840c8506af821cb3740ab21ab2b443be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "470934632b28708e698dc2882dd178fd09739731c9f7aa28b5f2f736921629db",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-06-22T11:22:28Z",
    "title_canon_sha256": "d1bb7d641fda28f55a28615d4896463dd7db46231ddb57232bc69b08a6c3bff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23180",
    "kind": "arxiv",
    "version": 1
  }
}