Pith Number

pith:3SDX4HHV

pith:2017:3SDX4HHVXRNS6FGAM2BXRIQKXL

not attested not anchored not stored refs pending

Nakayama automorphisms of twisted tensor products

D.-M. Lu, G.-S. Zhou, Y. Shen

arxiv:1708.05317 v1 · 2017-08-17 · 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{3SDX4HHVXRNS6FGAM2BXRIQKXL}

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	2026-05-18T00:37:53.292861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc877e1cf5bc5b2f14c0668378a20abac2ebdec99eb3d81d19c584bb98d83f42

Aliases

arxiv: 1708.05317 · arxiv_version: 1708.05317v1 · doi: 10.48550/arxiv.1708.05317 · pith_short_12: 3SDX4HHVXRNS · pith_short_16: 3SDX4HHVXRNS6FGA · pith_short_8: 3SDX4HHV

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/3SDX4HHVXRNS6FGAM2BXRIQKXL \
  | 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: dc877e1cf5bc5b2f14c0668378a20abac2ebdec99eb3d81d19c584bb98d83f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ea8a1dbc257121bcdbfbc537aba4aa210b5560d24cfb7976707464fda376e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-17T14:51:38Z",
    "title_canon_sha256": "49238b3514a1d27d47fcbb045d04f1934a8df6a2f58ef57ddc8510ff62f9c773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05317",
    "kind": "arxiv",
    "version": 1
  }
}