Pith Number

pith:IENU5BXA

pith:2014:IENU5BXAR7R2V42JUX6QHRN3ZZ

not attested not anchored not stored refs pending

Homomorphisms on infinite direct products of groups, rings and monoids

George M. Bergman

arxiv:1406.1932 v2 · 2014-06-07 · math.GR · math.LO · 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{IENU5BXAR7R2V42JUX6QHRN3ZZ}

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	2026-05-18T01:22:22.114418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

411b4e86e08fe3aaf349a5fd03c5bbce6cb1d78d337b13e762a7a03ca084ce82

Aliases

arxiv: 1406.1932 · arxiv_version: 1406.1932v2 · doi: 10.48550/arxiv.1406.1932 · pith_short_12: IENU5BXAR7R2 · pith_short_16: IENU5BXAR7R2V42J · pith_short_8: IENU5BXA

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/IENU5BXAR7R2V42JUX6QHRN3ZZ \
  | 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: 411b4e86e08fe3aaf349a5fd03c5bbce6cb1d78d337b13e762a7a03ca084ce82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8302de1344330e97caa95cd23e9a894a82d4285cf98d47c6f95e39dc81a5065",
    "cross_cats_sorted": [
      "math.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-07T21:27:35Z",
    "title_canon_sha256": "a071e6dd89ab8c0267fc8e845c78690e19b272bb727e92e278f2946ccf5363fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1932",
    "kind": "arxiv",
    "version": 2
  }
}