Pith Number

pith:YEQ6ILOM

pith:2026:YEQ6ILOMYIXVLKEPR5H3XYJKP4

not attested not anchored not stored refs pending

Tangential morphisms via log arithmetic geometry

Chikara Nakayama, Makoto Matsumoto, Yuichiro Hoshi

arxiv:2606.07993 v1 · 2026-06-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEQ6ILOMYIXVLKEPR5H3XYJKP4}

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	2026-06-09T01:05:21.840923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c121e42dccc22f55a88f8f4fbbe12a7f1bd8c93007b9e9d9e85de1c5624484d1

Aliases

arxiv: 2606.07993 · arxiv_version: 2606.07993v1 · doi: 10.48550/arxiv.2606.07993 · pith_short_12: YEQ6ILOMYIXV · pith_short_16: YEQ6ILOMYIXVLKEP · pith_short_8: YEQ6ILOM

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/YEQ6ILOMYIXVLKEPR5H3XYJKP4 \
  | 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: c121e42dccc22f55a88f8f4fbbe12a7f1bd8c93007b9e9d9e85de1c5624484d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aba395a287ecc902ff4792f3e2a3d1bf95ed7f87aa7616895c9b8fb9051102f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-06T06:10:42Z",
    "title_canon_sha256": "2d21f2146defce4016ff89428258f2d3314619ea203c0b31ca4e26b577000415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07993",
    "kind": "arxiv",
    "version": 1
  }
}