Pith Number

pith:25VGOJ5C

pith:2008:25VGOJ5C6IPU2HFKLZVUZUO6VB

not attested not anchored not stored refs pending

A quotient stack related to the Weyl algebra

S. Paul Smith

arxiv:0806.0176 v2 · 2008-06-01 · math.RA · math.AC · 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{25VGOJ5C6IPU2HFKLZVUZUO6VB}

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	2026-05-18T04:20:13.453934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76a6727a2f21f4d1caa5e6b4cd1dea8444e2cb1ceb4c5e1c2e64f1350fd175b

Aliases

arxiv: 0806.0176 · arxiv_version: 0806.0176v2 · doi: 10.48550/arxiv.0806.0176 · pith_short_12: 25VGOJ5C6IPU · pith_short_16: 25VGOJ5C6IPU2HFK · pith_short_8: 25VGOJ5C

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/25VGOJ5C6IPU2HFKLZVUZUO6VB \
  | 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: d76a6727a2f21f4d1caa5e6b4cd1dea8444e2cb1ceb4c5e1c2e64f1350fd175b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4481a65d6b264c00ccf14a310c78a3432fb192c50323c87562a8e84805d91b",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-06-01T21:32:38Z",
    "title_canon_sha256": "ab0ebf2dbaac040d16b6cc2752c98a55b911e240bdb9afa5dd59611281433777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0176",
    "kind": "arxiv",
    "version": 2
  }
}