Pith Number

pith:ZNMGO4ST

pith:2017:ZNMGO4STHXA2OXTKFEGBRY6EGX

not attested not anchored not stored refs pending

Minimal complexes of cotorsion flat modules

Peder Thompson

arxiv:1702.02985 v4 · 2017-02-09 · 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{ZNMGO4STHXA2OXTKFEGBRY6EGX}

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	2026-05-17T23:40:49.972908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb586772533dc1a75e6a290c18e3c435ddcf164cf44b2c1f3801b683b25b7aaa

Aliases

arxiv: 1702.02985 · arxiv_version: 1702.02985v4 · doi: 10.48550/arxiv.1702.02985 · pith_short_12: ZNMGO4STHXA2 · pith_short_16: ZNMGO4STHXA2OXTK · pith_short_8: ZNMGO4ST

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/ZNMGO4STHXA2OXTKFEGBRY6EGX \
  | 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: cb586772533dc1a75e6a290c18e3c435ddcf164cf44b2c1f3801b683b25b7aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba77ca1f0dc5d5750de489940d35b98bac9078bb031c494f5a054e9559a3c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-02-09T21:13:37Z",
    "title_canon_sha256": "875aaf109d1f42540a0d2c7e73942fd6d7f09ff3f194c2f9fa4d369619ee2ec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02985",
    "kind": "arxiv",
    "version": 4
  }
}