Pith Number

pith:QNX54HJ7

pith:2008:QNX54HJ7GIV5FINVMRFVA6GVTW

not attested not anchored not stored refs pending

Analysis on some infinite modules, inner projection, and applications

Kangjin Han, Sijong Kwak

arxiv:0807.4976 v4 · 2008-07-31 · math.AG · 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{QNX54HJ7GIV5FINVMRFVA6GVTW}

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	2026-05-18T03:53:55.113186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836fde1d3f322bd2a1b5644b5078d59d9ae4132bf5a413d77c4ee7a9f8dff421

Aliases

arxiv: 0807.4976 · arxiv_version: 0807.4976v4 · doi: 10.48550/arxiv.0807.4976 · pith_short_12: QNX54HJ7GIV5 · pith_short_16: QNX54HJ7GIV5FINV · pith_short_8: QNX54HJ7

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/QNX54HJ7GIV5FINVMRFVA6GVTW \
  | 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: 836fde1d3f322bd2a1b5644b5078d59d9ae4132bf5a413d77c4ee7a9f8dff421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5d7e1bef967126512e31ccdc79c1db263f940b4091c2d6a8a4e2b08e136618",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-31T03:41:02Z",
    "title_canon_sha256": "87ab3e05ce2c93548d9398b6c3c23f11dab195181bc3ab06e648c5389350c430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4976",
    "kind": "arxiv",
    "version": 4
  }
}