Pith Number

pith:UUZYDREQ

pith:2010:UUZYDREQS7JHJJGMPPCCTBOVQ5

not attested not anchored not stored refs pending

Asymptotic Behavior of Ext functors for modules of finite complete intersection dimension

Hailong Dao, Olgur Celikbas

arxiv:1004.0294 v1 · 2010-04-02 · 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{UUZYDREQS7JHJJGMPPCCTBOVQ5}

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	2026-05-18T00:54:58.543484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53381c49097d274a4cc7bc42985d587559077fdacd340dc3978e3fa43ea4eb3

Aliases

arxiv: 1004.0294 · arxiv_version: 1004.0294v1 · doi: 10.48550/arxiv.1004.0294 · pith_short_12: UUZYDREQS7JH · pith_short_16: UUZYDREQS7JHJJGM · pith_short_8: UUZYDREQ

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/UUZYDREQS7JHJJGMPPCCTBOVQ5 \
  | 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: a53381c49097d274a4cc7bc42985d587559077fdacd340dc3978e3fa43ea4eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8701c50742d0dda068e6f13ba7668d0d908357f5aafa3df1c9c8ab7a041f2bea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-04-02T06:23:00Z",
    "title_canon_sha256": "32b8b98bd4dfdd2c6ab19a821c1a3ef79f1a85fb8d69003aa534c3281402a3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0294",
    "kind": "arxiv",
    "version": 1
  }
}