Pith Number

pith:EFQMIWIH

pith:2018:EFQMIWIH4PXZSZLJULJZDBTLMB

not attested not anchored not stored refs pending

Specifying The Auslander transpose in submodule category and its applications

Abdolnaser Bahlekeh, Ali Mahin Fallah, Shokrollah Salarian

arxiv:1808.07508 v1 · 2018-08-22 · 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{EFQMIWIH4PXZSZLJULJZDBTLMB}

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	2026-05-17T23:40:34.502342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2160c45907e3ef996569a2d391866b6046cdbe73d7651d6eea5bf8ed3bc8f33c

Aliases

arxiv: 1808.07508 · arxiv_version: 1808.07508v1 · doi: 10.48550/arxiv.1808.07508 · pith_short_12: EFQMIWIH4PXZ · pith_short_16: EFQMIWIH4PXZSZLJ · pith_short_8: EFQMIWIH

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/EFQMIWIH4PXZSZLJULJZDBTLMB \
  | 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: 2160c45907e3ef996569a2d391866b6046cdbe73d7651d6eea5bf8ed3bc8f33c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c54c376b36ed71a163b72da3e54649ae11cf599fa802c9b881d526e1c748af82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-22T18:21:32Z",
    "title_canon_sha256": "58b7bf3671db42797023b1fc8395882c7341d086ef9621fdc13b963f5e241b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07508",
    "kind": "arxiv",
    "version": 1
  }
}