Pith Number

pith:GXCQWXR7

pith:2020:GXCQWXR7EXCX6TZYCAKSPKDLRO

not attested not anchored not stored refs pending

Reconstructing the base field from imaginary multiplicative chaos

Janne Junnila, Juhan Aru

arxiv:2006.05917 v2 · 2020-06-10 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXCQWXR7EXCX6TZYCAKSPKDLRO}

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	2026-07-05T02:12:23.704201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c50b5e3f25c57f4f38101527a86b8bb3942343a528c637892d9001e38737df

Aliases

arxiv: 2006.05917 · arxiv_version: 2006.05917v2 · doi: 10.48550/arxiv.2006.05917 · pith_short_12: GXCQWXR7EXCX · pith_short_16: GXCQWXR7EXCX6TZY · pith_short_8: GXCQWXR7

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/GXCQWXR7EXCX6TZYCAKSPKDLRO \
  | 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: 35c50b5e3f25c57f4f38101527a86b8bb3942343a528c637892d9001e38737df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc6ac6e1de47f5e69c7fb4524d54115c8205fe9f106d773fbb5e872bbb26bce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-06-10T16:09:24Z",
    "title_canon_sha256": "32d1dd46420189bdedc91963084b2e472d2372f472d092eb7b3de1620cfb2c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.05917",
    "kind": "arxiv",
    "version": 2
  }
}