Pith Number

pith:B6WZ3XSS

pith:2012:B6WZ3XSSKAKZFQS7JY33NYPFIV

not attested not anchored not stored refs pending

On certain rings of differentiable type and finiteness properties of local cohomology

Luis Nunez-Betancourt

arxiv:1202.3597 v1 · 2012-02-16 · 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{B6WZ3XSSKAKZFQS7JY33NYPFIV}

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	2026-05-18T04:02:12.797205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fad9dde52501592c25f4e37b6e1e54560f449edae374033cbf68d4ffa1ceff3

Aliases

arxiv: 1202.3597 · arxiv_version: 1202.3597v1 · doi: 10.48550/arxiv.1202.3597 · pith_short_12: B6WZ3XSSKAKZ · pith_short_16: B6WZ3XSSKAKZFQS7 · pith_short_8: B6WZ3XSS

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/B6WZ3XSSKAKZFQS7JY33NYPFIV \
  | 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: 0fad9dde52501592c25f4e37b6e1e54560f449edae374033cbf68d4ffa1ceff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923c6efe4636b014624331535baa644aa8cb63d8c967782e2d792538dcbb1aa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-16T14:17:28Z",
    "title_canon_sha256": "d5603a29e04af304b2deb2d5dd5f7f1b32f37aaa2a6c10c19d025904733d5368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3597",
    "kind": "arxiv",
    "version": 1
  }
}