Pith Number

pith:63VNPP25

pith:2015:63VNPP254UHGKVKFXPKKBODWQX

not attested not anchored not stored refs pending

Tensor Product of $C$-Injective Modules

A.-J. Taherizadeh, Mohammad Rahmani

arxiv:1503.05492 v3 · 2015-03-18 · 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{63VNPP254UHGKVKFXPKKBODWQX}

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	2026-05-18T01:07:54.165794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ead7bf5de50e655545bbd4a0b87685cf0fea5b19e4dfcbfa4a4119855d7fd8

Aliases

arxiv: 1503.05492 · arxiv_version: 1503.05492v3 · doi: 10.48550/arxiv.1503.05492 · pith_short_12: 63VNPP254UHG · pith_short_16: 63VNPP254UHGKVKF · pith_short_8: 63VNPP25

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/63VNPP254UHGKVKFXPKKBODWQX \
  | 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: f6ead7bf5de50e655545bbd4a0b87685cf0fea5b19e4dfcbfa4a4119855d7fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0ff4159ceb34932874588016c2f010593e1b6ce599145e5dd5c6ef2c40739b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-18T17:10:14Z",
    "title_canon_sha256": "efeb7a0fbafcfc9301c185110fcabeedb47aa26f1b6a181c002e450e511dff6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05492",
    "kind": "arxiv",
    "version": 3
  }
}