Pith Number

pith:TRJWOSJU

pith:2012:TRJWOSJUHZ4DRKG4K6F6UIVIH4

not attested not anchored not stored refs pending

The equations of Rees algebras of ideals of almost-linear type

Ferran Mui\~nos

arxiv:1203.4450 v1 · 2012-03-20 · math.AC · 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{TRJWOSJUHZ4DRKG4K6F6UIVIH4}

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	2026-05-18T03:59:39.053133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c536749343e7838a8dc578bea22a83f2ee033d6befe024a6b6500f6db8660a1

Aliases

arxiv: 1203.4450 · arxiv_version: 1203.4450v1 · doi: 10.48550/arxiv.1203.4450 · pith_short_12: TRJWOSJUHZ4D · pith_short_16: TRJWOSJUHZ4DRKG4 · pith_short_8: TRJWOSJU

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/TRJWOSJUHZ4DRKG4K6F6UIVIH4 \
  | 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: 9c536749343e7838a8dc578bea22a83f2ee033d6befe024a6b6500f6db8660a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c9858da710a370b606d75188d9ba045f96881bf69c8066d2bffdd52dde0b39",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-20T14:31:47Z",
    "title_canon_sha256": "6f0c8980189e7f964aa502aabb929a3dd045c031da49c307bf6c863c57a88ea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4450",
    "kind": "arxiv",
    "version": 1
  }
}