Pith Number

pith:E5PGY4OH

pith:2026:E5PGY4OHLM7L7NEJPJWLSKYPZV

not attested not anchored not stored refs pending

A relative Euclidean thickening

John R. Klein

arxiv:2607.29631 v1 · 2026-07-31 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5PGY4OHLM7L7NEJPJWLSKYPZV}

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	2026-08-03T01:41:06.779865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275e6c71c75b3ebfb4897a6cb92b0fcd57836383f979a34f2ed64d3de2d5c2cd

Aliases

arxiv: 2607.29631 · arxiv_version: 2607.29631v1 · doi: 10.48550/arxiv.2607.29631 · pith_short_12: E5PGY4OHLM7L · pith_short_16: E5PGY4OHLM7L7NEJ · pith_short_8: E5PGY4OH

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/E5PGY4OHLM7L7NEJPJWLSKYPZV \
  | 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: 275e6c71c75b3ebfb4897a6cb92b0fcd57836383f979a34f2ed64d3de2d5c2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8acaafc1888ba13f5cedaa597460c188da9b3ee5be75e2e1d4632d5b5447fab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-31T17:09:24Z",
    "title_canon_sha256": "499bd51fe1db778b50e9fa31042eb1e109ee390eeaa576a1d04edeb373c9ee38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29631",
    "kind": "arxiv",
    "version": 1
  }
}