Pith Number

pith:HXAFY4FO

pith:2012:HXAFY4FO3KR5GUYPVSCQQUJQXU

not attested not anchored not stored refs pending

An alternative perspective on projectivity of modules

Chris Holston, Joe Mastromatteo, Jos\'e E. Simental-Rodr\'iguez, Sergio R. L\'opez-Permouth

arxiv:1206.5556 v3 · 2012-06-25 · 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{HXAFY4FO3KR5GUYPVSCQQUJQXU}

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	2026-05-18T00:40:01.463852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc05c70aedaa3d3530fac85085130bd2db5c484f41b60697d782a44dc06d6fb

Aliases

arxiv: 1206.5556 · arxiv_version: 1206.5556v3 · doi: 10.48550/arxiv.1206.5556 · pith_short_12: HXAFY4FO3KR5 · pith_short_16: HXAFY4FO3KR5GUYP · pith_short_8: HXAFY4FO

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/HXAFY4FO3KR5GUYPVSCQQUJQXU \
  | 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: 3dc05c70aedaa3d3530fac85085130bd2db5c484f41b60697d782a44dc06d6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71125e1f8a157d3c32b51128de59f46b9d33521763ed25e85463ce146460828d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-25T01:32:38Z",
    "title_canon_sha256": "3e36ba2c51a889de6cfa682016c72a36020bc79638823f0795a65269ef1f6b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5556",
    "kind": "arxiv",
    "version": 3
  }
}