Pith Number

pith:LARZ32WC

pith:2010:LARZ32WCYISU55PWZTJQXYFBKB

not attested not anchored not stored refs pending

Witt groups of complex cellular varieties

Marcus Zibrowius

arxiv:1011.3757 v3 · 2010-11-16 · math.KT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LARZ32WCYISU55PWZTJQXYFBKB}

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	2026-05-18T04:19:21.912613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58239deac2c2254ef5f6ccd30be0a15068d8f98e006bf28dde825af4f9f09f09

Aliases

arxiv: 1011.3757 · arxiv_version: 1011.3757v3 · doi: 10.48550/arxiv.1011.3757 · pith_short_12: LARZ32WCYISU · pith_short_16: LARZ32WCYISU55PW · pith_short_8: LARZ32WC

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/LARZ32WCYISU55PWZTJQXYFBKB \
  | 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: 58239deac2c2254ef5f6ccd30be0a15068d8f98e006bf28dde825af4f9f09f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7d9aef323dde1b0bb80a8c92303b655ab7c3605e824fa8ca5b1ef9d61f3f14",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-11-16T17:00:18Z",
    "title_canon_sha256": "385c15baaca9973957587c33f96d779bb89b5460315952a89df1e83ad3513379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3757",
    "kind": "arxiv",
    "version": 3
  }
}