Pith Number

pith:XLQ3TZR6

pith:2010:XLQ3TZR6ZAJ2TI4FBTMWZNHGDM

not attested not anchored not stored refs pending

The slice filtration and Grothendieck-Witt groups

Marc Levine

arxiv:1012.5630 v1 · 2010-12-27 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLQ3TZR6ZAJ2TI4FBTMWZNHGDM}

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	2026-05-18T04:32:22.715292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bae1b9e63ec813a9a3850cd96cb4e61b3215f786aafb05c7100ca52dee3d47c1

Aliases

arxiv: 1012.5630 · arxiv_version: 1012.5630v1 · doi: 10.48550/arxiv.1012.5630 · pith_short_12: XLQ3TZR6ZAJ2 · pith_short_16: XLQ3TZR6ZAJ2TI4F · pith_short_8: XLQ3TZR6

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/XLQ3TZR6ZAJ2TI4FBTMWZNHGDM \
  | 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: bae1b9e63ec813a9a3850cd96cb4e61b3215f786aafb05c7100ca52dee3d47c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1acf5a8cefd8cf885e0c3d50bc9cfda4d774cbebea3c290aa9b95f1cbb4b7c2c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-27T15:47:10Z",
    "title_canon_sha256": "2c76a1f4ab80ab0e62bfa65ab59bee8f0f155e1576aa059c41601966384f13ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5630",
    "kind": "arxiv",
    "version": 1
  }
}