Pith Number

pith:HBBAM25D

pith:2013:HBBAM25DG5UW4FRHVA4TQJNWV3

not attested not anchored not stored refs pending

Rings and modules which are stable under automorphisms of their injective hulls

Ashish K. Srivastava, Noyan Er, Surjeet Singh

arxiv:1301.5841 v1 · 2013-01-24 · 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{HBBAM25DG5UW4FRHVA4TQJNWV3}

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	2026-05-18T03:35:37.199059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3842066ba337696e1627a8393825b6aedb2c57e51a72c840f3323980c2d116a0

Aliases

arxiv: 1301.5841 · arxiv_version: 1301.5841v1 · doi: 10.48550/arxiv.1301.5841 · pith_short_12: HBBAM25DG5UW · pith_short_16: HBBAM25DG5UW4FRH · pith_short_8: HBBAM25D

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/HBBAM25DG5UW4FRHVA4TQJNWV3 \
  | 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: 3842066ba337696e1627a8393825b6aedb2c57e51a72c840f3323980c2d116a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a2d7500c65c5404edbd9dc9e1aea82bc0bbda6503977a321a26495e80d24fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-24T17:02:58Z",
    "title_canon_sha256": "01d6c86fe2c436b6f4ce558d3ae60f6c0e93437df15d99e7f1e044bd782c4ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5841",
    "kind": "arxiv",
    "version": 1
  }
}