Pith Number

pith:VNMTCC66

pith:2006:VNMTCC66C27UBNJXWRAOYRTPK3

not attested not anchored not stored refs pending

Some Ideals with Large Projective Dimension

Giulio Caviglia, Manoj Kummini

arxiv:math/0604436 v2 · 2006-04-20 · 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{VNMTCC66C27UBNJXWRAOYRTPK3}

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	2026-05-18T03:39:17.127793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab59310bde16bf40b537b440ec466f56c2532362a0e12cac20c2b021f5a6bd3a

Aliases

arxiv: math/0604436 · arxiv_version: math/0604436v2 · doi: 10.48550/arxiv.math/0604436 · pith_short_12: VNMTCC66C27U · pith_short_16: VNMTCC66C27UBNJX · pith_short_8: VNMTCC66

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/VNMTCC66C27UBNJXWRAOYRTPK3 \
  | 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: ab59310bde16bf40b537b440ec466f56c2532362a0e12cac20c2b021f5a6bd3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1598705cb723ff27ddcd8bc9583c8e642373c626c65d0122e7d57c1ab680c05",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2006-04-20T05:06:50Z",
    "title_canon_sha256": "55996c30b8c7bbe20f77feba2030a905a60f66aaf38e0be917884c6c7e36d419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604436",
    "kind": "arxiv",
    "version": 2
  }
}