Pith Number

pith:CXCSEH75

pith:2015:CXCSEH75D5NQOFRCZJ3JWXBJR4

not attested not anchored not stored refs pending

Gorenstein flat and projective (pre)covers

Alina Iacob, Sergio Estrada, Sinem Odabasi

arxiv:1508.04173 v1 · 2015-08-17 · 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{CXCSEH75D5NQOFRCZJ3JWXBJR4}

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	2026-05-18T01:35:06.088901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c5221ffd1f5b071622ca769b5c298f34aa8fff5a41b60375877acfc7700313

Aliases

arxiv: 1508.04173 · arxiv_version: 1508.04173v1 · doi: 10.48550/arxiv.1508.04173 · pith_short_12: CXCSEH75D5NQ · pith_short_16: CXCSEH75D5NQOFRC · pith_short_8: CXCSEH75

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/CXCSEH75D5NQOFRCZJ3JWXBJR4 \
  | 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: 15c5221ffd1f5b071622ca769b5c298f34aa8fff5a41b60375877acfc7700313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6790e06ca56f0bc5802100cbb6cf813004e0c75bacbbeb59b9534f3829933e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-17T22:56:04Z",
    "title_canon_sha256": "423f80bfdffc42fbb6c0b81b6a81bdb2347537fdd26a0ad4f872b490949b7de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04173",
    "kind": "arxiv",
    "version": 1
  }
}