Pith Number

pith:6QSKW22M

pith:2019:6QSKW22MMKARPQK54NUYHTPZVW

not attested not anchored not stored refs pending

Totally reflexive modules over connected sums with m^3=0

Adela Vraciu

arxiv:1905.02032 v1 · 2019-05-06 · 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{6QSKW22MMKARPQK54NUYHTPZVW}

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	2026-05-17T23:46:56.610249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f424ab6b4c628117c15de36983cdf9ad987f12c99ea8f499c554e004606648b7

Aliases

arxiv: 1905.02032 · arxiv_version: 1905.02032v1 · doi: 10.48550/arxiv.1905.02032 · pith_short_12: 6QSKW22MMKAR · pith_short_16: 6QSKW22MMKARPQK5 · pith_short_8: 6QSKW22M

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/6QSKW22MMKARPQK54NUYHTPZVW \
  | 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: f424ab6b4c628117c15de36983cdf9ad987f12c99ea8f499c554e004606648b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed939284d758e473ff2e72ca9f208fc4295cb45051d210fd80b01825604c918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-05-06T13:23:53Z",
    "title_canon_sha256": "d57952c674df4e49e3fe315b3b9bda292d828959b975f99f33bcf83d69e3ded2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02032",
    "kind": "arxiv",
    "version": 1
  }
}