Pith Number

pith:4K5WIQVK

pith:2015:4K5WIQVKRGFCBFISR3RAYP22LO

not attested not anchored not stored refs pending

On abstract homomorphisms of algebraic groups

Pralay Chatterjee

arxiv:1511.06180 v2 · 2015-11-19 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K5WIQVKRGFCBFISR3RAYP22LO}

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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	2026-05-18T01:19:11.418634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bb6442aa898a2095128ee20c3f5a5b8bba08a548cbf0c5e451c2b85dde5371

Aliases

arxiv: 1511.06180 · arxiv_version: 1511.06180v2 · doi: 10.48550/arxiv.1511.06180 · pith_short_12: 4K5WIQVKRGFC · pith_short_16: 4K5WIQVKRGFCBFIS · pith_short_8: 4K5WIQVK

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/4K5WIQVKRGFCBFISR3RAYP22LO \
  | 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: e2bb6442aa898a2095128ee20c3f5a5b8bba08a548cbf0c5e451c2b85dde5371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff8ac8917cb0f73261c5f6d7e43eec1029196b7f0c1bffb3ccb063e4db53cfd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-19T14:19:08Z",
    "title_canon_sha256": "2cac1fdbcd2fec07a342fb22ae32e85faba0662f639dfb8905270da6e97d56fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06180",
    "kind": "arxiv",
    "version": 2
  }
}