Pith Number

pith:QCMOTBDU

pith:2016:QCMOTBDUXYJVKOHKG5XQIWS5UT

not attested not anchored not stored refs pending

Gorenstein projective precovers

Alina Iacob, Katelyn Yeomans, Sergio Estrada

arxiv:1601.02169 v1 · 2016-01-10 · 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{QCMOTBDUXYJVKOHKG5XQIWS5UT}

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	2026-05-18T01:23:07.096693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8098e98474be135538ea376f045a5da4f8a37a25e342dd40b6b9d828696d9c24

Aliases

arxiv: 1601.02169 · arxiv_version: 1601.02169v1 · doi: 10.48550/arxiv.1601.02169 · pith_short_12: QCMOTBDUXYJV · pith_short_16: QCMOTBDUXYJVKOHK · pith_short_8: QCMOTBDU

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/QCMOTBDUXYJVKOHKG5XQIWS5UT \
  | 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: 8098e98474be135538ea376f045a5da4f8a37a25e342dd40b6b9d828696d9c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66e73001642c8ca2149e205ecfb300196a0bee140a0c6d60680a7cf9cb513b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-10T00:31:15Z",
    "title_canon_sha256": "9d501f48fac8419dc4ec342480a9bfc92936143a5c51599ee7e46e7640bc8a16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02169",
    "kind": "arxiv",
    "version": 1
  }
}