Pith Number

pith:XOURJ56T

pith:2014:XOURJ56TG2M73L2XLGC2PCASDY

not attested not anchored not stored refs pending

Twisting operators, twisted tensor products and smash products for Hom-associative algebras

Abdenacer Makhlouf, Florin Panaite

arxiv:1402.1893 v1 · 2014-02-08 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOURJ56TG2M73L2XLGC2PCASDY}

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	2026-05-18T02:59:33.232137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba914f7d33699fdaf575985a788121e0290d2b89a145aca6786d40c9f481147

Aliases

arxiv: 1402.1893 · arxiv_version: 1402.1893v1 · doi: 10.48550/arxiv.1402.1893 · pith_short_12: XOURJ56TG2M7 · pith_short_16: XOURJ56TG2M73L2X · pith_short_8: XOURJ56T

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/XOURJ56TG2M73L2XLGC2PCASDY \
  | 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: bba914f7d33699fdaf575985a788121e0290d2b89a145aca6786d40c9f481147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7817bf6da240fd91c89eaf5e024e01dfc7a3c7f131e8bda5c85d593220e822a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-02-08T21:49:43Z",
    "title_canon_sha256": "bd9bd20f33a55e2d3d9a1d433056465d42f2079b97643bea603bdb1f8b9a547e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1893",
    "kind": "arxiv",
    "version": 1
  }
}