Pith Number

pith:5V722IYH

pith:2012:5V722IYHHGTBKWYQ7634XGXAW7

not attested not anchored not stored refs pending

Rings of Invariant Module Type and Automorphism-Invariant Modules

Ashish K. Srivastava, Surjeet Singh

arxiv:1207.5370 v1 · 2012-07-23 · 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{5V722IYHHGTBKWYQ7634XGXAW7}

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	2026-05-18T03:50:23.733702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7fad230739a6155b10ffb7cb9ae0b7fbe5cf2f3fbb014e9fb0378c08ebba7b

Aliases

arxiv: 1207.5370 · arxiv_version: 1207.5370v1 · doi: 10.48550/arxiv.1207.5370 · pith_short_12: 5V722IYHHGTB · pith_short_16: 5V722IYHHGTBKWYQ · pith_short_8: 5V722IYH

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/5V722IYHHGTBKWYQ7634XGXAW7 \
  | 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: ed7fad230739a6155b10ffb7cb9ae0b7fbe5cf2f3fbb014e9fb0378c08ebba7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b33d05f29e644286b598df4d012dfb16b5e769c73b344df13bab2d0d2281314f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-23T12:22:40Z",
    "title_canon_sha256": "8ca6c0c265a8ab00ae4bfcd05dcbf4fb62c64a7a74ae2d4eeba92d2b3480fec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5370",
    "kind": "arxiv",
    "version": 1
  }
}