Pith Number

pith:XLP2FGDJ

pith:2011:XLP2FGDJVZR7NHMCHDRUUNDBRS

not attested not anchored not stored refs pending

Weierstrass preparation and algebraic invariants

Daniel Krashen, David Harbater, Julia Hartmann

arxiv:1109.6362 v2 · 2011-09-28 · math.RA · 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{XLP2FGDJVZR7NHMCHDRUUNDBRS}

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	2026-05-18T03:46:45.449939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

badfa29869ae63f69d8238e34a34618ca6bae3e2512e2daa2010cadf5b89d892

Aliases

arxiv: 1109.6362 · arxiv_version: 1109.6362v2 · doi: 10.48550/arxiv.1109.6362 · pith_short_12: XLP2FGDJVZR7 · pith_short_16: XLP2FGDJVZR7NHMC · pith_short_8: XLP2FGDJ

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/XLP2FGDJVZR7NHMCHDRUUNDBRS \
  | 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: badfa29869ae63f69d8238e34a34618ca6bae3e2512e2daa2010cadf5b89d892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab75cb9682b33d582c0497225eaeb517f80ad31679a04ff0a6fcc876294535d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-28T21:48:23Z",
    "title_canon_sha256": "69892af4af27f78d93e3db29e5e46ab85ecbc9eb4fa8e7e60b34873e68e21730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6362",
    "kind": "arxiv",
    "version": 2
  }
}