Pith Number

pith:ZEWSMYM5

pith:2016:ZEWSMYM5R6OK6ZKBKSCW37VXY6

not attested not anchored not stored refs pending

On the generalized associativity equation

Bruno Teheux, Jean-Luc Marichal

arxiv:1607.08435 v1 · 2016-07-28 · 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{ZEWSMYM5R6OK6ZKBKSCW37VXY6}

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	2026-05-18T00:47:54.767915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92d26619d8f9caf654154856dfeb7c7af63faff4cc947c8b77e68501487a414

Aliases

arxiv: 1607.08435 · arxiv_version: 1607.08435v1 · doi: 10.48550/arxiv.1607.08435 · pith_short_12: ZEWSMYM5R6OK · pith_short_16: ZEWSMYM5R6OK6ZKB · pith_short_8: ZEWSMYM5

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/ZEWSMYM5R6OK6ZKBKSCW37VXY6 \
  | 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: c92d26619d8f9caf654154856dfeb7c7af63faff4cc947c8b77e68501487a414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b5c9c114e9dc78c9a1ad5c82abf599bf41670ed81fe2cf68cee581d06f402b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-28T13:00:25Z",
    "title_canon_sha256": "b31b2a0a79f7fafb4ada3c4584aaef644f27632a467d0a7d9681d458fd41f28d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08435",
    "kind": "arxiv",
    "version": 1
  }
}