Pith Number

pith:X56ZZVCA

pith:2011:X56ZZVCAYLTYXXFWP5HNJ2VYXS

not attested not anchored not stored refs pending

Asymptotic Purity for Very General Hypersurfaces of P^n x P^n of Bidegree (k,k)

Michael A. Burr

arxiv:1104.0726 v1 · 2011-04-05 · 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{X56ZZVCAYLTYXXFWP5HNJ2VYXS}

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	2026-05-18T04:25:02.701894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf7d9cd440c2e78bdcb67f4ed4eab8bc8ed16f7f24abda027f1fe4cd4ad72cc2

Aliases

arxiv: 1104.0726 · arxiv_version: 1104.0726v1 · doi: 10.48550/arxiv.1104.0726 · pith_short_12: X56ZZVCAYLTY · pith_short_16: X56ZZVCAYLTYXXFW · pith_short_8: X56ZZVCA

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/X56ZZVCAYLTYXXFWP5HNJ2VYXS \
  | 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: bf7d9cd440c2e78bdcb67f4ed4eab8bc8ed16f7f24abda027f1fe4cd4ad72cc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12523c9181c274838622da6af2a9efba6a9b1eb7ba4bf3c2ae55dcd14f562adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-05T03:10:56Z",
    "title_canon_sha256": "40732d63aeabbd4cde3f2ed88d9bae4dce0f74969d1d6c3c692eed45e363642a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0726",
    "kind": "arxiv",
    "version": 1
  }
}