Pith Number

pith:D6CZMNIC

pith:2018:D6CZMNICAQFRQ5VFVPEMBXZFT3

not attested not anchored not stored refs pending

$\mathfrak{X}$-Gorenstein projective dimensions

Xiaowei Xu, Zhibing Zhao

arxiv:1801.09127 v2 · 2018-01-27 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6CZMNICAQFRQ5VFVPEMBXZFT3}

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	2026-05-18T00:22:33.040656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f85963502040b1876a5abc8c0df259eff3b2863eb0e785fa4fb542d26ad6b84

Aliases

arxiv: 1801.09127 · arxiv_version: 1801.09127v2 · doi: 10.48550/arxiv.1801.09127 · pith_short_12: D6CZMNICAQFR · pith_short_16: D6CZMNICAQFRQ5VF · pith_short_8: D6CZMNIC

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/D6CZMNICAQFRQ5VFVPEMBXZFT3 \
  | 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: 1f85963502040b1876a5abc8c0df259eff3b2863eb0e785fa4fb542d26ad6b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5a73c7b54ec14f594c9345c5f4c040cd9f233d567d73464d246723f3c1cabb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-01-27T19:34:59Z",
    "title_canon_sha256": "892356c9afd5b5b9297dd50f8965a16fa0db7ae7e4ccfa5b1b7f0a8142ce70e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09127",
    "kind": "arxiv",
    "version": 2
  }
}