Pith Number

pith:C3QNMMGG

pith:2018:C3QNMMGGSZOAZG5J5FMEGABD33

not attested not anchored not stored refs pending

Stability results for projective modules over Rees algebras

Husney Parvez Sarwar, Ravi A. Rao

arxiv:1803.03979 v1 · 2018-03-11 · math.AC · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3QNMMGGSZOAZG5J5FMEGABD33}

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	2026-05-18T00:21:33.299281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e0d630c6965c0c9ba9e958430023ded2b6b70220a79e2e8069b69dbca9a2fc

Aliases

arxiv: 1803.03979 · arxiv_version: 1803.03979v1 · doi: 10.48550/arxiv.1803.03979 · pith_short_12: C3QNMMGGSZOA · pith_short_16: C3QNMMGGSZOAZG5J · pith_short_8: C3QNMMGG

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/C3QNMMGGSZOAZG5J5FMEGABD33 \
  | 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: 16e0d630c6965c0c9ba9e958430023ded2b6b70220a79e2e8069b69dbca9a2fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c6249a33ef6b0422c167142610ce823d9a44613fcd86ff19e8220b743bb10b",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-11T15:57:28Z",
    "title_canon_sha256": "c5f1493daf6114524b36d39f2c317839e048ac2967012b4a6f22d33833563090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03979",
    "kind": "arxiv",
    "version": 1
  }
}