Pith Number

pith:JXROSGYI

pith:2011:JXROSGYIKZBEFWZSMASSCAUAEV

not attested not anchored not stored refs pending

On genuine infinite algebraic tensor products

Chi-Keung Ng

arxiv:1112.3128 v1 · 2011-12-14 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXROSGYIKZBEFWZSMASSCAUAEV}

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	2026-05-18T04:06:20.097884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de2e91b08564242db3260252102802575062ce3cc3de903af1c9f91e456f88d

Aliases

arxiv: 1112.3128 · arxiv_version: 1112.3128v1 · doi: 10.48550/arxiv.1112.3128 · pith_short_12: JXROSGYIKZBE · pith_short_16: JXROSGYIKZBEFWZS · pith_short_8: JXROSGYI

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/JXROSGYIKZBEFWZSMASSCAUAEV \
  | 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: 4de2e91b08564242db3260252102802575062ce3cc3de903af1c9f91e456f88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d798d043a2230d8307f3fc15968cd7976321789b058cbde6cc1c5cc60ab2b5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-12-14T06:26:14Z",
    "title_canon_sha256": "97fb9396b538af534753eab1567b8b36c661bc6847bb5331c531f8b5037aaaa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3128",
    "kind": "arxiv",
    "version": 1
  }
}