Pith Number

pith:QWOW5VLB

pith:2012:QWOW5VLBVA7FTHR5UNHS4ZFFHC

not attested not anchored not stored refs pending

Symbolic powers of perfect ideals of codimension 2 and birational maps

Aron Simis, Zaqueu Ramos

arxiv:1209.2899 v2 · 2012-09-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWOW5VLBVA7FTHR5UNHS4ZFFHC}

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	2026-05-18T03:08:38.428610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859d6ed561a83e599e3da34f2e64a538a401dbc5892b3fe7b095952a90484572

Aliases

arxiv: 1209.2899 · arxiv_version: 1209.2899v2 · doi: 10.48550/arxiv.1209.2899 · pith_short_12: QWOW5VLBVA7F · pith_short_16: QWOW5VLBVA7FTHR5 · pith_short_8: QWOW5VLB

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/QWOW5VLBVA7FTHR5UNHS4ZFFHC \
  | 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: 859d6ed561a83e599e3da34f2e64a538a401dbc5892b3fe7b095952a90484572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4e5d70694674a2935586d047f8118173c86e8172b8759fa5b7edc98e34b7c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-13T14:09:31Z",
    "title_canon_sha256": "60228622f6a0cf29c2c1a969f2a49fea74006d3671e990214eff0ed18cd8e697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2899",
    "kind": "arxiv",
    "version": 2
  }
}