Pith Number

pith:4MOLA6US

pith:2011:4MOLA6USGFO6OF6UYAKK4EWYOB

not attested not anchored not stored refs pending

The Semistable Reduction Problem for the Space of Morphisms on $\mathbb{P}^{n}$

Alon Levy

arxiv:1104.4517 v2 · 2011-04-22 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MOLA6USGFO6OF6UYAKK4EWYOB}

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	2026-05-18T04:20:21.892205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31cb07a92315de717d4c014ae12d8706a569590eae8802afdd65c8e2793997f

Aliases

arxiv: 1104.4517 · arxiv_version: 1104.4517v2 · doi: 10.48550/arxiv.1104.4517 · pith_short_12: 4MOLA6USGFO6 · pith_short_16: 4MOLA6USGFO6OF6U · pith_short_8: 4MOLA6US

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/4MOLA6USGFO6OF6UYAKK4EWYOB \
  | 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: e31cb07a92315de717d4c014ae12d8706a569590eae8802afdd65c8e2793997f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a861815f18b052ed09dbc1f00e9c951c69544221d31fb979a644a3690ac844c3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-22T23:02:33Z",
    "title_canon_sha256": "eca7eabbea7e46b7e972082797d3668fce679cc50bc64ec73805f212b2ae52e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4517",
    "kind": "arxiv",
    "version": 2
  }
}