Pith Number

pith:MN2NIYPK

pith:2013:MN2NIYPK3A3PPWGK47DEOBFT3S

not attested not anchored not stored refs pending

Torsion in tensor products, and tensor powers, of modules

Greg Piepmeyer, Olgur Celikbas, Roger Wiegand, Srikanth B. Iyengar

arxiv:1302.1852 v2 · 2013-02-07 · 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{MN2NIYPK3A3PPWGK47DEOBFT3S}

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	2026-05-18T02:30:47.828709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6374d461ead836f7d8cae7c64704b3dcbd5519f4acc04b7ac19d6ccf97e08e9a

Aliases

arxiv: 1302.1852 · arxiv_version: 1302.1852v2 · doi: 10.48550/arxiv.1302.1852 · pith_short_12: MN2NIYPK3A3P · pith_short_16: MN2NIYPK3A3PPWGK · pith_short_8: MN2NIYPK

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/MN2NIYPK3A3PPWGK47DEOBFT3S \
  | 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: 6374d461ead836f7d8cae7c64704b3dcbd5519f4acc04b7ac19d6ccf97e08e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a26f5a9bc9970be5abea6d5ba27118df65ed8f92e9e1af44857c5d49b1fe6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-07T20:31:47Z",
    "title_canon_sha256": "201e61f1b8e920c8079308f86993119a21f223c5db8e50924bebbfd46004851c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1852",
    "kind": "arxiv",
    "version": 2
  }
}