Pith Number

pith:JMAKI5LM

pith:2025:JMAKI5LMUC6ETVRSCFHNIFZJBR

not attested not anchored not stored refs pending

Hypercomplex analytic spaces and schemes

Roger Bielawski

arxiv:2507.16452 v3 · 2025-07-22 · math.AG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMAKI5LMUC6ETVRSCFHNIFZJBR}

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	2026-05-17T23:39:01.195794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b00a4756ca0bc49d632114ed417290c4d70992130435942b851e71927020e4b

Aliases

arxiv: 2507.16452 · arxiv_version: 2507.16452v3 · doi: 10.48550/arxiv.2507.16452 · pith_short_12: JMAKI5LMUC6E · pith_short_16: JMAKI5LMUC6ETVRS · pith_short_8: JMAKI5LM

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/JMAKI5LMUC6ETVRSCFHNIFZJBR \
  | 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: 4b00a4756ca0bc49d632114ed417290c4d70992130435942b851e71927020e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e7e67b0c92be2bb9d5385f80f276f10fc003ac19adef8b2efaedce17ed85b48",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-22T10:53:50Z",
    "title_canon_sha256": "e565aa0a5d3bc603bebeb2f6c2b274d5c702c2b49d01200ff863b97646927e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16452",
    "kind": "arxiv",
    "version": 3
  }
}