Pith Number

pith:IF4J3QLX

pith:2015:IF4J3QLXDQQ7O6SHNQKHE3YXL2

not attested not anchored not stored refs pending

On L-Injective Modules

Akeel Ramadan Mehdi

arxiv:1501.02491 v2 · 2015-01-11 · 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{IF4J3QLXDQQ7O6SHNQKHE3YXL2}

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	2026-05-18T00:35:36.056535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41789dc1771c21f77a476c14726f175e9b8c5b80b717d28a72a0bd6790fb87f4

Aliases

arxiv: 1501.02491 · arxiv_version: 1501.02491v2 · doi: 10.48550/arxiv.1501.02491 · pith_short_12: IF4J3QLXDQQ7 · pith_short_16: IF4J3QLXDQQ7O6SH · pith_short_8: IF4J3QLX

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/IF4J3QLXDQQ7O6SHNQKHE3YXL2 \
  | 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: 41789dc1771c21f77a476c14726f175e9b8c5b80b717d28a72a0bd6790fb87f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dda73ce481824278c9292fcff2ed530a6649e82c7d03ac2414a10f07bdefcae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-01-11T20:20:57Z",
    "title_canon_sha256": "08c6e8d135645a777cd55312cc38db3a0e8f02a8d85d8741651d3857c52947a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02491",
    "kind": "arxiv",
    "version": 2
  }
}