Pith Number

pith:74HZ2KNW

pith:2011:74HZ2KNWYVLJXXQJUESN7FT7X4

not attested not anchored not stored refs pending

Surjectivity of the total Clifford invariant and Brauer dimension

Asher Auel

arxiv:1108.5728 v3 · 2011-08-29 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74HZ2KNWYVLJXXQJUESN7FT7X4}

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	2026-05-18T01:31:20.138385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0f9d29b6c5569bde09a124df967fbf2683753ed76e56ce4118510c9f5e6bac

Aliases

arxiv: 1108.5728 · arxiv_version: 1108.5728v3 · doi: 10.48550/arxiv.1108.5728 · pith_short_12: 74HZ2KNWYVLJ · pith_short_16: 74HZ2KNWYVLJXXQJ · pith_short_8: 74HZ2KNW

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/74HZ2KNWYVLJXXQJUESN7FT7X4 \
  | 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: ff0f9d29b6c5569bde09a124df967fbf2683753ed76e56ce4118510c9f5e6bac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c46cdf89054bbfd106cc508efc36dd602d9ec5b1920af03b3af542e7e58eb44",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-29T19:59:40Z",
    "title_canon_sha256": "32d9986be6853c489d5aefbf1e957d39b0f0cd4f8db55d4b3fb34c4255c981a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5728",
    "kind": "arxiv",
    "version": 3
  }
}