Pith Number

pith:AL3EYGV3

pith:2011:AL3EYGV3RYI4PYI2IZA4RFMCJS

not attested not anchored not stored refs pending

Amalgamated Products of Groups II: Measures of Random Normal Forms

Alexei G. Myasnikov, Elizaveta Frenkel, Vladimir N. Remeslennikov

arxiv:1107.4079 v1 · 2011-07-20 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AL3EYGV3RYI4PYI2IZA4RFMCJS}

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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.

Cited by

1 paper in Pith

One-relator quotients of Partially Commutative Groups

Receipt and verification

First computed	2026-05-18T04:17:14.051959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f64c1abb8e11c7e11a4641c895824ca856bdf40c6ecb333f631253fff2c665

Aliases

arxiv: 1107.4079 · arxiv_version: 1107.4079v1 · doi: 10.48550/arxiv.1107.4079 · pith_short_12: AL3EYGV3RYI4 · pith_short_16: AL3EYGV3RYI4PYI2 · pith_short_8: AL3EYGV3

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/AL3EYGV3RYI4PYI2IZA4RFMCJS \
  | 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: 02f64c1abb8e11c7e11a4641c895824ca856bdf40c6ecb333f631253fff2c665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77a940cf302a450b1209703b5270be8f439376679951553649e1f840bc7a5bf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-20T19:23:40Z",
    "title_canon_sha256": "10644df61cba37770223c19c59461c59bf402e75e2174d57c6bc0278eecb5bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4079",
    "kind": "arxiv",
    "version": 1
  }
}