Pith Number

pith:MP45KBYC

pith:2017:MP45KBYCMMJMUXEO77UMLFOL5P

not attested not anchored not stored refs pending

Totally Reflexive Modules and Poincar\'{e} Series

Mohsen Gheibi, Ryo Takahashi

arxiv:1705.06563 v3 · 2017-05-18 · 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{MP45KBYCMMJMUXEO77UMLFOL5P}

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	2026-05-17T23:59:33.318160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f9d507026312ca5c8effe8c595cbebd2fdac0ce1a0ab4692637b6c9ed52150

Aliases

arxiv: 1705.06563 · arxiv_version: 1705.06563v3 · doi: 10.48550/arxiv.1705.06563 · pith_short_12: MP45KBYCMMJM · pith_short_16: MP45KBYCMMJMUXEO · pith_short_8: MP45KBYC

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/MP45KBYCMMJMUXEO77UMLFOL5P \
  | 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: 63f9d507026312ca5c8effe8c595cbebd2fdac0ce1a0ab4692637b6c9ed52150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf287e322bbc16bef4fa13da5862c84258f8d962cd2471c2af647d0cf7ef7408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-18T12:59:08Z",
    "title_canon_sha256": "f98afe299752bed1501607d17c8d303cad043f8d430c6594aecfe84d6d066558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06563",
    "kind": "arxiv",
    "version": 3
  }
}