Pith Number

pith:N27FGD7X

pith:2017:N27FGD7XLLZRAUCGGMCZ3XBZ2Z

not attested not anchored not stored refs pending

Cosupport computations for finitely generated modules over commutative noetherian rings

Peder Thompson

arxiv:1702.03270 v2 · 2017-02-10 · 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{N27FGD7XLLZRAUCGGMCZ3XBZ2Z}

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	2026-05-18T00:00:13.705612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ebe530ff75af310504633059ddc39d6660366f155329f3589f752875dcf7d59

Aliases

arxiv: 1702.03270 · arxiv_version: 1702.03270v2 · doi: 10.48550/arxiv.1702.03270 · pith_short_12: N27FGD7XLLZR · pith_short_16: N27FGD7XLLZRAUCG · pith_short_8: N27FGD7X

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/N27FGD7XLLZRAUCGGMCZ3XBZ2Z \
  | 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: 6ebe530ff75af310504633059ddc39d6660366f155329f3589f752875dcf7d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d226ee0c676d8ec67cbe41b776473c19e4294520fcd0d25f405e8c8e7ac919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-02-10T18:14:10Z",
    "title_canon_sha256": "71233f3112167e27935f885931f00c26b582ae433cc0044c2d81a29051cb66ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03270",
    "kind": "arxiv",
    "version": 2
  }
}