Pith Number

pith:3EKCTOEK

pith:2026:3EKCTOEKBACZM7GFMI6YKOBWNY

not attested not anchored not stored refs pending

Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci

Yaoran Yang, Yutong Zhang

arxiv:2608.06273 v1 · 2026-08-06 · 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{3EKCTOEKBACZM7GFMI6YKOBWNY}

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	2026-08-07T01:41:06.090972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91429b88a0805967cc5623d8538366e0c44453bdbde69f52696489098d61772

Aliases

arxiv: 2608.06273 · arxiv_version: 2608.06273v1 · doi: 10.48550/arxiv.2608.06273 · pith_short_12: 3EKCTOEKBACZ · pith_short_16: 3EKCTOEKBACZM7GF · pith_short_8: 3EKCTOEK

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/3EKCTOEKBACZM7GFMI6YKOBWNY \
  | 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: d91429b88a0805967cc5623d8538366e0c44453bdbde69f52696489098d61772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d672968d177a812d7ea4d798f975131d8af5aa02f4dd2fea9a635f3850bb28b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-06T17:01:48Z",
    "title_canon_sha256": "c05f340ad393a79ed5efecc273d6cc171305b0d2f06025329bfa6d2f3022f79d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06273",
    "kind": "arxiv",
    "version": 1
  }
}