Pith Number

pith:I6ZR6WHU

pith:2009:I6ZR6WHUCHUTMQC2EHLG3V6B54

not attested not anchored not stored refs pending

Free divisors in prehomogeneous vector spaces

David Mond, Mathias Schulze, Michel Granger

arxiv:0912.0626 v3 · 2009-12-03 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6ZR6WHUCHUTMQC2EHLG3V6B54}

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	2026-05-18T04:10:48.421962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b31f58f411e936405a21d66dd7c1ef1e832105a9dd8851e1349db0c06c1a7f

Aliases

arxiv: 0912.0626 · arxiv_version: 0912.0626v3 · doi: 10.48550/arxiv.0912.0626 · pith_short_12: I6ZR6WHUCHUT · pith_short_16: I6ZR6WHUCHUTMQC2 · pith_short_8: I6ZR6WHU

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/I6ZR6WHUCHUTMQC2EHLG3V6B54 \
  | 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: 47b31f58f411e936405a21d66dd7c1ef1e832105a9dd8851e1349db0c06c1a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0d510c51d9e3e821fecf4efffe186e7c39275f12837034c46bd50d1e504880",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-03T17:37:38Z",
    "title_canon_sha256": "f53b5dad33acef2ff0f430cc2b4d4b3cca0bf742a9e6e1958f503ea3095676c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0626",
    "kind": "arxiv",
    "version": 3
  }
}