Pith Number

pith:CGVKWQ4X

pith:2013:CGVKWQ4XMV7COJ74VLHTZA6JYV

not attested not anchored not stored refs pending

Two-dimensional Einstein numbers and associativity

J\'an Halu\v{s}ka, Tom\'a\v{s} Gregor

arxiv:1309.0660 v1 · 2013-09-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGVKWQ4XMV7COJ74VLHTZA6JYV}

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	2026-05-18T01:25:47.821846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11aaab4397657e2727fcaacf3c83c9c56afbe4ddc4606d79aed888f0fb17d45c

Aliases

arxiv: 1309.0660 · arxiv_version: 1309.0660v1 · doi: 10.48550/arxiv.1309.0660 · pith_short_12: CGVKWQ4XMV7C · pith_short_16: CGVKWQ4XMV7COJ74 · pith_short_8: CGVKWQ4X

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/CGVKWQ4XMV7COJ74VLHTZA6JYV \
  | 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: 11aaab4397657e2727fcaacf3c83c9c56afbe4ddc4606d79aed888f0fb17d45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ef222a678cd31bb70db2566c2d313b8448cd3e2ff6c1984eba44f0a78ee19b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-03T12:53:39Z",
    "title_canon_sha256": "a7c37334a0913164bb6dbb8a6f9e53af32184dc57c67d24d6a7741b8a3b205b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0660",
    "kind": "arxiv",
    "version": 1
  }
}