Pith Number

pith:UE4WTGXD

pith:2011:UE4WTGXD6LP7VTYYMAYOMIND67

not attested not anchored not stored refs pending

Minimal Free Resolutions of 0-Dimensional Schemes in P1 \times P1

Lucia Marino, Paola Bonacini

arxiv:1108.4007 v1 · 2011-08-19 · 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{UE4WTGXD6LP7VTYYMAYOMIND67}

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	2026-05-18T04:15:05.723109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a139699ae3f2dffacf186030e621a3f7e95cccfd54ccc134369fba7890890819

Aliases

arxiv: 1108.4007 · arxiv_version: 1108.4007v1 · doi: 10.48550/arxiv.1108.4007 · pith_short_12: UE4WTGXD6LP7 · pith_short_16: UE4WTGXD6LP7VTYY · pith_short_8: UE4WTGXD

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/UE4WTGXD6LP7VTYYMAYOMIND67 \
  | 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: a139699ae3f2dffacf186030e621a3f7e95cccfd54ccc134369fba7890890819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0748a67dca1c1ae525264510d687aa88c1b6f85e93c784338bb9e401129aae3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-19T17:02:54Z",
    "title_canon_sha256": "85182cf9cee911b24b972e132c64c106c39ce26d67f0f731cce848891e195a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4007",
    "kind": "arxiv",
    "version": 1
  }
}