Pith Number

pith:6YJGRXX3

pith:2026:6YJGRXX3TYEOEMDYTULBUTMSXU

not attested not anchored not stored refs pending

A natural e\~ne product construction of the Big Witt ring

Daniel Barsky, Jean-Pierre Ramis, Ricardo Perez-Marco

arxiv:2606.01395 v1 · 2026-05-31 · math.RA · math.AC · math.CO · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YJGRXX3TYEOEMDYTULBUTMSXU}

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	2026-06-02T02:04:32.242138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61268defb9e08e230789d161a4d92bd05436a1ccbf3820248903c273b5789c5

Aliases

arxiv: 2606.01395 · arxiv_version: 2606.01395v1 · doi: 10.48550/arxiv.2606.01395 · pith_short_12: 6YJGRXX3TYEO · pith_short_16: 6YJGRXX3TYEOEMDY · pith_short_8: 6YJGRXX3

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/6YJGRXX3TYEOEMDYTULBUTMSXU \
  | 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: f61268defb9e08e230789d161a4d92bd05436a1ccbf3820248903c273b5789c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159152760af4747c6063263adfd63573f669d4d30972e9669b2e1ea40e8f4db6",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-05-31T18:36:47Z",
    "title_canon_sha256": "7762c1c71a3f66c8a3dd5a767b7027f9de2f5bdd4dd86ed230ad04222b07b1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01395",
    "kind": "arxiv",
    "version": 1
  }
}